Linear groups over general rings. I: Generalities.

DOI10.1007/s10958-013-1146-7zbMath1278.20066OpenAlexW1973180997MaRDI QIDQ354787

Alexei Stepanov, Nikolai A. Vavilov

Publication date: 22 July 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1146-7

zbMATH Keywords

surveygeneral linear groupsclassical groups over ringsgroups of matrices

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Other matrix groups over rings (20H25) Linear algebraic groups over adèles and other rings and schemes (20G35) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

Related Items

Decomposition of transvections for automorphisms., The commutators of classical groups, Normalizers of elementary overgroups of \(\mathrm{Ep}(2,A)\), Saint Petersburg school of the theory of linear groups. I: Prehistory, Commutators of relative and unrelative elementary groups, revisited, Standard commutator formula, revisited., The yoga of commutators: further applications., Subgroups of a finitary linear group, Unrelativized standard commutator formula

Cites Work

• Multiple commutator formulas.
• Erratum to: ``Bloch-Wigner theorem over rings with many units.
• More variations on the decomposition of transvections.
• Dennis-Vaserstein type decompositions.
• \(K_2(2,k[T,T^{-1})\) is generated by symbols]
• Automorphisms and isomorphisms of Chevalley groups and algebras.
• Relative unitary commutator calculus, and applications.
• Congruence hulls in \(SL_ n\)
• Symplectic \(2\times 2\) matrices over free algebras
• Yet another variation on the theme of decomposition of transvections.
• Commutators and companion matrices over rings of stable rank 1
• Generators for classical groups of modules over local rings
• On abstract homomorphisms of anisotropic algebraic groups over real-closed fields
• Generators of \(U_n(V)\) over a quasi semilocal semihereditary domain
• Homomorphismes abstraits de groupes algébriques simples
• A new type of automorphism of the general linear group over a ring
• Lineare Gruppen über verallgemeinerten Bewertungsringen
• The linear homogeneous group. III
• Die Struktur der linearen Gruppe über einem nichtkommutativen lokalen Ring
• On non-normal subgroups of \(GL_ n(A)\) which are normalized by elementary matrices
• Isomorphisms of a complete linear group over an associative ring
• \(K_ 1\) of von Neumann regular rings
• On the \(GE_ 2\) of graded rings
• Bass's first stable range condition
• The relative \(K_ 2\) of truncated polynomial rings
• \(K_ 2\) d'un anneau euclidien
• Subgroups of the elementary and Steinberg groups of congruence level \(I^ 2\)
• On the normal subgroups of GL(2,A)
• Non-standard automorphisms and non-congruence subgroups of \(\mathrm{SL}_{2}\) over Dedekind domains contained in function fields
• Decomposition of transvections for automorphisms.
• Subnormal structure of non-stable unitary groups over rings.
• Bounded generation of \(S\)-arithmetic subgroups of isotropic orthogonal groups over number fields.
• A geometric proof that \(\text{SL}_2(\mathbb{Z}[t,t^{-1})\) is not finitely presented.]
• Homology stability for unitary groups. II.
• Finiteness properties of arithmetic groups over function fields.
• On the structure of \(GL_ 2\) over stable range one rings
• Standard commutator formula.
• Third homology of general linear groups
• Automorphisms of Chevalley groups of type \(F_4\) over local rings with \(1/2\).
• Polynomial parametrization for the solutions of Diophantine equations and arithmetic groups
• Solving linear systems via Pfaffians
• Homology and finiteness properties of \(\text{SL}_2(\mathbb{Z}[t,t^{-1})\).]
• Localization-completion strikes again: relative \(K_1\) is nilpotent by Abelian
• Stable ranks of Banach algebras of operator-valued analytic functions
• The Steinberg formula for orbit groups
• \(\text{SL}_n(\mathbb{Z}[t)\) is not \(\text{FP}_{n-1}\).]
• A group structure on certain orbit sets of unimodular rows
• Subnormal structure of symplectic groups over local rings
• Isomorphisms of general linear groups over rings
• Subnormal structure of two-dimensional linear groups over rings that are close to fields
• On nilpotent class 2 groups and the Steinberg groups ST(3,R)
• \(K_ 2\) of non-commutative local rings
• Normal subgroups of the general linear groups over Banach algebras
• Homology of \(GL_ n\), characteristic classes and Milnor's K-theory
• Operations on orbits of unimodular vectors
• On some discretely normed rings of functions being not \(GE_ 2\)-rings.
• Normal structure of symplectic groups over a ring of stable rank 1
• Factorization of transformations over a local ring
• A note on p-adic étale cohomology in the semi-stable reduction case
• Free quotients of congruence subgroups of \(SL_ 2\) over a coordinate ring
• Finite presentability of S-arithmetic groups. Compact presentability of solvable groups
• A generalized sandwich theorem
• On algebraic embeddings of rings into groups
• Prestabilization for \(K_ 1\) of Banach algebras
• Tits's theorem for the group \(PGL_ 2(L)\), L a not necessarily commutative local ring
• G\(L_ 2\) over full rings
• Absolute stable rank and Witt cancellation for noncommutative rings
• On a question of M. Newman on the number of commutators
• Automorphisms of \(\det (X_{ij}):\) The group scheme approach
• The Bass-Quillen conjecture in dimension three but characteristic \(\neq 2,3\) via a question of A. Suslin
• Stable range one for rings with many units
• Subnormal structure of the general linear groups over Banach algebras
• On the normal subgroups of SL(2,A)
• Zero-dimensionality and the \(GE_ 2\) of polynomial rings
• On subgroups of \(GL_ 2\) over non-commutative local rings which are normalized by elementary matrices
• A module structure on certain orbit sets of unimodular rows
• Homologie du groupe linéaire et K-théorie de Milnor des anneaux. (Homology of the linear group and Milnor's K-theory of rings)
• Normal subgroups of symplectic groups over rings
• K(A,B,I). II
• Commutators in linear groups
• Hauptidealringe mit nichttrivialer \(SK_1\)-Gruppe
• Homology stability for \(GL_n\) of a Dedekind domain
• Homological properties of certain arithmetic groups in the function field case
• Eine Präsentation der symplektischen Gruppe Sp(4,Z) mit 2 Erzeugenden und 8 definierenden Relationen
• The Witt ring of a full ring
• The orthogonal and the special orthogonal groups over a full ring
• Homology of \(\mathrm{SL}_2(\mathbb Z[\omega)\)]
• Monomorphisms between subgroups of groups of type \(G_ 2\).
• Spherical posets and homology stability for \(O_ n,\)//n
• Abstract isomorphisms of simple algebraic groups split by quadratic extensions
• A further note on subgroups of GL(n,A) which are generated by commutators
• Free non-Abelian quotients of \(SL_ 2\) over orders of imaginary quadratic numberfields
• Generators of \(Sp_ n(\)V) over a quasi semilocal semihereditary ring
• On the structure of the Steinberg group st(Lambda)
• \(\mathrm{SL}_2(\mathbb Z[(1+\sqrt{5})/2)\)]
• The symplectic group over a ring with one in its stable range
• Grothendieck groups of Abelian group rings
• \(SK_ 1\) of an interesting principal ideal domain
• Homology of SL(n,Z[1/p)]
• Projective planes over rings of stable rank 2
• On regular rings with stable range 2
• Structure of O(V) over full rings
• Improvement of \(K_ 2-\)stability under transitive actions of elementary groups
• Category equivalences and linear groups over rings
• Another presentation for the \(K_ 2\) of a local domain
• Free quotients and the congruence kernel of \(SL_ 2\).
• The congruence subgroup and metaplectic problems for \(SL_{n>1}\) of division algebras
• Nonabelian \(K\)-theory: The nilpotent class of \(K_ 1\) and general stability
• The \(E(2,A)\) sections of \(SL(2,A)\)
• Paths of unimodular vectors
• Word length in elementary matrices
• Finiteness properties of certain arithmetic groups in the function field case
• Generating the tame and wild kernels by Dennis-Stein symbols
• Prestabilization for \(K_ 1U^ \varepsilon\) of \(\Lambda\)-2-fold rings
• Normal subgroups of \(SL_ 2(k[t)\) with or without free quotients]
• Automorphisms of affine Kac-Moody groups and related Chevalley groups over rings
• The Schur multipliers of \(SL(3,Z)\) and \(SL(4,Z)\)
• Stable range for matrices
• \(K_2\) of a Euclidean ring
• \(K_2\) of discrete valuation rings
• Lower bounds on the stable range of polynomial rings
• Endlich präsentierte arithmetische Gruppen und \(K_2\) über Laurent- Polynomringen
• The structure of the symplectic groups over semilocal domains
• \((t^2- t)\)-reciprocities on the affine line and Matsumoto's theorem
• Semiperfect Prüfer rings and FPF rings
• On the \(GE_n\) of a ring
• Zur endlichen Präsentation von Chevalley-Gruppen über den euklidischen imaginär-quadratischen Zahlringen
• A general isomorphism theory for linear groups
• Stability for homology of the general linear group of a local ring
• Cayley algebras and the isomorphisms of the orthogonal groups over arithmetic and local domains
• Orthogonal groups over semilocal domains
• Completing unimodular rows to invertible matrices
• Euklidischer Algorithmus und die Gruppe \(GL_2\)
• Die Normalteiler der symplektischen Gruppen über beliebigen lokalen Ringen
• The elements of \(K_2(\mathbb{Z}_s)\)
• \(SK_1\) of dihedral groups
• Isomorphism theory for orthogonal groups over arbitrary integral domains
• Unitary groups over local rings
• The orthogonal group over a full ring
• The cohomology of \(SL_3(Z)\)
• Generators of a symplectic group over a local valuation domain
• The amalgamated free product structure of \(\mathrm{GL}_2(k[X_1,\dots ,X_n )\) and the weak Jacobian theorem for two variables]
• Stable structure of noncommutative Noetherian rings
• Cohomologie et groupe de Steinberg rélatifs
• A presentation for \(K_2\) of split radical pairs
• The relativization of \(K_2\)
• \(K_2(A[X,Y/XY)\), a problem of Swan, and related computations]
• Vanishing theorems of homology of \(Gl_ nR\)
• The automorphisms of two-dimensional linear groups over commutative rings
• Unipotent matrices, modulo elementary matrices, in \(\text{SL}_2\) over a coordinate ring
• Congruence subgroups and twisted cohomology of \(\text{SL}_n(F[t)\)]
• Power residue symbols and the central sections of \(\text{SL}(2,A)\)
• On the stability of the \(K_1\)-functor for Chevalley groups of type \(E_7\)
• An Abelian group structure on orbits of ``unimodular squares in dimension 3
• Homology of linear groups with coefficients in the adjoint action and \(K\)-theory
• The indecomposable \(K_3\) of rings and homology of \(\text{SL}_2\)
• Presenting \(GL_n (k\langle T\rangle)\)
• On the word length of commutators in \(\text{GL}_n(R)\)
• Homomorphisms between symplectic groups
• Subnormal structure of two-dimensional linear groups over \(6\)-primitive rings
• A new presentation of hyperbolic classical groups over a division ring
• On the groups \(\mathrm{SL}_ 2(\mathbb{Z}[x)\) and \(\mathrm{SL}_ 2(k[x,y])\)]
• Finiteness properties of Chevalley groups over \(\mathbb{F}_ q[t\)]
• Subnormal structure of symplectic groups over \((2,3)\)-full rings
• Morse theory and finiteness properties of groups
• The non-finite presentability of \(IA(F_ 3)\) and \(\text{GL}_ 2(Z[t,t^{-1})\)]
• Hermitian groups and \(K\)-theory
• On the congruence problem for classical groups
• On subgroups of GL(n,A) which are generated by commutators
• Stability for quadratic \(K_1\)
• On products of three triangular matrices over associative rings
• Unstable homotopy invariance and the homology of \(\text{SL}_2(\mathbb{Z}[t)\)]
• Explicit Kazhdan constants for representations of semisimple and arithmetic groups
• Stability for Hermitian \(K_1\)
• The normal subgroups of symplectic groups over valuation rings with a residue class field characteristic \(\neq 2\)
• Products of three triangular matrices over commutative rings
• Stability structure of linear group over rings
• Homology stability for unitary groups
• On the Whitehead determinant for semi-local rings
• Higher composition laws. III: The parametrization of quartic rings
• Work of Pere Menal on normal subgroups
• Subnormal structure of two-dimensional linear groups over full rings
• Dimension theory and nonstable \(K_{1}\) of quadratic modules
• Chevalley groups over commutative rings. I: Elementary calculations
• A generalization of a theorem of Vogtmann
• The structure of orthogonal groups over arbitrary commutative rings
• Some Tits systems with affine Weyl groups in Chevalley groups over Dedekind domains
• Automorphisms of quotients of PiGL(n//i)
• A classification of subgroups of \(\Lambda\)-quadratic groups normalized by relative elementary groups
• Automorphisms of PSL\(_2\) over domains with few units
• Automorphisms of the symplectic group over a local ring
• A third look at weight diagrams
• \(K_{1}\) of Chevalley groups are nilpotent
• Higher composition laws. II: On cubic analogues of Gauss composition
• Higher composition laws. I: A new view on Gauss composition, and quadratic generalizations
• Involutary expressions for elements in \(\text{GL}_ n(\mathbb{Z})\) and \(\text{SL}_ n(\mathbb{Z})\)
• The \(E_ 2(R)\)-normalized subgroups of \(\text{GL}_ 2(R)\)
• Isomorphic Chevalley groups over integral domains
• The generation of \(\text{U}_{2n}(R,\Lambda)\) and a presentation of \(\text{O}^ +_{2n}(R)\)
• Stabilization of unitary groups over polynomial rings
• Automorphisms of simple Chevalley groups over \(Q\)-algebras
• Quotients of the congruence kernels of \(\text{SL}_ 2\) over arithmetic Dedekind domains
• An algorithmic proof of Suslin's stability theorem for polynomial rings
• An embedding theorem between special linear groups over any fields
• Non unimodular Hermitian forms
• Normal subgroups of classical groups over rings
• The homology of \(\text{SL}_ 2(F[t,t^{-1})\)]
• The genetics of universal Chevalley groups over some commutative rings
• Decomposition of transvections: A theme with variations
• Isomorphisms of Chevalley groups over algebras
• The yoga of commutators.
• The stable range of \(C^*\)-algebras
• Injective stability for \(K_1\) of classical modules
• A new approach to Matsumoto's theorem
• On symplectic groups over polynomial rings
• Finiteness of \(SL_ n /TL_ n\) over Hasse domains for \(n \geq 4\)
• Prestability for quadratic \(K_1\) of \(\Lambda\)-1-fold stable rings
• Higher composition laws. IV: The parametrization of quintic rings
• Relative commutator calculus in Chevalley groups.
• Jordan algebras, exceptional groups, and Bhargava composition
• Bounded generation of \(\text{SL}(n,A)\) (after D. Carter, G. Keller, and E. Paige).
• Homology of \(\mathrm{GL}_n\): injectivity conjecture for \(\mathrm{GL}_{4}\)
• Uniform Kazhdan constant for some families of linear groups.
• A nice group structure on the orbit space of unimodular rows
• Explicit \(K_1\) of some modular group rings
• Universal lattices and property \(\tau\)
• Some remarks on the invariant basis property
• Triangular and diagonal forms for matrices over commutative noetherian rings
• Stable range in commutative rings
• The automorphisms of the linear congruence groups over Dedekind domains
• Endliche Erzeugbarkeit arithmetischer Gruppen über Funktionenkörpern
• Group-theoretic characterization of transvections using CDC
• Automorphisms of the general linear group over a principal ideal domain
• Relativizing functors on rings and algebraic K-theory
• Generators and relations for certain special linear groups
• Lectures on topics in algebraic \(K\)-theory
• On certain classical groups over Hasse domains
• Stable rank of rings and dimensionality of topological spaces
• On the homomorphisms of the integral linear groups
• Fundamental groups, algebraic K-theory, and a problem of Abhyankar
• \(K\)-theory and stable algebra
• On the structure of the unitary Steinberg group
• Defining relations for certain integrally parametrized Chevalley groups
• Zur \(\mathrm{SL}_2\) der ganzen Zahlen eines imaginär-quadratischen Zahlkörpers
• Twin buildings and applications to \(S\)-arithmetic groups
• Dimension theory and nonstable K-theory for net groups
• Absolute stable rank and quadratic forms over noncommutative rings
• On subgroups of \(GL_ 2\) over Banach algebras and von Neumann regular rings which are normalized by elementary matrices
• Stabilizers of edges in general linear groups acting on trees
• Bounded generation of some -arithmetic orthogonal groups
• Parabolic factorizations of split classical groups
• On linear representations of Chevalley groups over commutative rings
• Elementary symplectic orbits and improved K₁-stability
• Bounded Elementary Generation of SL n (O)
• Elementary subgroups of isotropic reductive groups
• On the Group of Symplectic Matrices Over a Free Associative Algebra
• Bak's work on theK-theory of rings
• Homological stability for O_n,n over semi-local rings
• Modules without Invariant Basis Number
• Linear groups over local rings
• Lineare Gruppen Uber Lokalen Ringen
• Automorphisms of the Two-Dimensional Generai Linear Group Over a Euclidean Ring
• An Elementary Transformation of a Special Unimodular Vector to Its Top Coefficient Vector
• General symbols and presentations of elementary linear groups.
• On the problem of homology stability for congruence subgroups
• The Quillen - Suslin theorem and the structure of n-dimensional elementary polynomial matrices
• On Completing Unimodular Polynomial Vectors of Length Three
• On homomorphisms between special linear groups over division rings
• A structure theorem for the elementary unimodular vector group
• KAZHDAN CONSTANTS FOR SL_n(ℤ)
• An Introduction to Arithmetic Groups
• A note on the subnormal structure of general linear groups
• The subnormal structure of general linear groups over rings
• The tangent complex to the Bloch-Suslin complex
• Stability of rings
• ¹-Homotopy of Chevalley Groups
• Relative subgroups in Chevalley groups
• Normal Structure of Maximal Parabolic Subgroups in Chevalley Groups over Rings
• NONLINEARITY OF MATRIX GROUPS
• Whitehead groups of chevalley groups over polynomial rings
• [https://portal.mardi4nfdi.de/wiki/Publication:3658196 E 2 � SL 2 for Most Laurent Polynomial Rings]
• Sur Les Sous-Groupes Normaux De SL₂ Sur Un Anneau Local
• Matrix Completion Theorems
• Elementary expressions for unimodular matrices
• ANOMALOUS NORMAL SUBGROUPS OF SL₂(K[x)]
• The structure of symplectic groups over semi-local rings
• On GL₂ of a Local Ring in Which 2 is Not a Unit
• Normal Subgroups of the General Linear Groups Over Von Neumann Regular Rings
• An Answer to a Question of M. Newman on Matrix Completion
• The subnormal structure of general linear groups
• Standard subgroups of GL₂(A)
• Finite presentability of arithmetic groups over global function fields
• Free quotients of congruence subgroups of SL₂ over a Dedekind ring of arithmetic type contained in a function field
• The Normal Subgroup Structure of the Picard Group
• Homological Stability for O n,n Over a Local Ring
• Non-Standard, Normal Subgroups and Non-Normal, Standard Subgroups of the Modular Group
• Unimodular Commutators
• The structure of symplectic groups over arbitrary commutative rings
• Normal Subgroups of Orthogonal Groups Over Commutative Rings
• Reduction of a Matrix Depending on Parameters to a Diagonal Form by Addition Operations
• Projective geometry over rings with stable range condition
• OnGL₂of a local ring in which 2 is not a unit II
• Finite Presentability of Φ_n (G ), GL_n (ZG) and their Elementary Subgroups and Steinberg Groups
• The Module Type of a Ring
• Explizite Präsentation gewisser Hilbertscher Modulgruppen durch Erzeugende und Relationen.
• Gl₂of rings with many units
• On subgroups of GL (n, A) which are generated by commutators. II.
• Automorphisms of GL n (R)
• Über explizite Präsentationen Hilbertscher Modulgruppen zu totalrellen Körpern der Klassenzahlen eins.
• On the group S L 2 over orders of arithmetic type.
• Abstract homomorphisms of algebraic groups: problems and bibliography
• Aut(GL₂(R)) for rings with many units
• The general linear group of polynomial rings over regular rings
• Subgroups of SL₂ℤ generated by elementary matrices
• Generators of Orthogonal Groups over Valuation Rings
• Projectivities over rings with many units
• On the size of certain k-groups
• K1(A, B, I).
• Normal subgroups of 𝑆𝐿(2,𝐴)
• The order and level of a subgroup of GL₂ over a Dedekind ring of arithmetic type
• Homological meaning of systems (ϕ, α, σ)
• On vaserstein's power operation on elementary orbits
• ON BOUNDED GENERATION OF SL_n(Z)
• Injective stability for 𝐾₂ of local rings
• Automorphisms of the Two-Dimensional Linear Groups Over Integral Domains
• On the construction of division chains in algebraic number rings,with applications to SL₂
• A Note on Subgroups of GL(n, A ) which are Generated by Commutators
• The GE 2 Property for Discrete Subrings of C
• A presentation for some 𝐾₂(𝑛,𝑅)
• Automorphisms of GL n (R)
• Skewly computable rows and a theorem of swan and towber
• The amalgamated free product structure of 𝐺𝐿₂(𝐾[𝑋₁,⋯,𝑋_{𝑛})]
• [https://portal.mardi4nfdi.de/wiki/Publication:4137349 Cayley Algebras and the Automorphisms of PO � 8 (V) and PΩ 8 (V)]
• Zentrale Erweiterungen der speziellen linearen Gruppe eines Schiefkörpers.
• Generators and Relations for the Special Linear Group Over a Division Ring
• ON STABLY FREE MODULES
• The $K_2$ of rings with many units
• Automorphisms of GL n (R)
• Isomorphisms of the Integral Classical Groups and Their Congruence Subgroups
• Generators of o_n(v) over a quasi semi local semi hereditary domain
• Normalteiler ganzzahliger Spingruppen.
• Generators of sp_n(V) over a Quasi se-milocal semihereditary domain
• Finite presentability of Steinberg groups over group rings
• Conditions under which $K₂(
• On the Normal Subgroups of $G_2(A)$
• Isomorphisms Between Linear Groups Over Division Rings
• Rectangular Invertible Matrices
• Abstract Radices
• Arithmetic groups over function fields I
• Products of similar matrices
• On the decomposition of automorphisms of free modules into simple factors
• The Generalization of Nagao's Theorem to Other Subrings of the Rational Function Field
• Subrings in Quadratic Fields Which are Not Universal for GE2
• Subrings in imaginary quadratic fields which are not universal for GE₂
• A Remark on the Congruence Subgroup Problem
• Structure of Hyperbolic Unitary Groups I: Elementary Subgroups
• SL_n(F[x) is not boundedly generated by elementary matrices: explicit proof]
• Chevalley groups of type E7 in the 56-dimensional representation
• A Realization Algorithm for SL₂(R[x₁ , . . . ,x_m) over the Euclidean Domain]
• Normal subgroups of 𝑃𝑆𝐿₂(𝑍[√-3)]
• Computation of k₁Via mennicke symbols
• Vaserstein's pre-stabilization theorem over commutative rings
• On Unimodular Rows
• THE STEINBERG GROUP OF A POLYNOMIAL RING
• AUTOMORPHISMS OF MATRIX GROUPS OVER COMMUTATIVE RINGS
• On the Homology of GL_nand Higher Pre-Bloch Groups
• Orthogonal Groups Over R((π))
• On steinberg groups
• REPRESENTATIONS OF DEGREE TWO FOR ELEMENTARY SUBGROUPS OVER RINGS
• Stable rank of corner rings
• On Representations of Elementary Subgroups of Chevalley Groups Over Algebras
• Numbers badly approximate by fractions with prime denominator
• On weak resolutions
• Isomorphisms of adjoint Chevalley groups over integral domains
• Determination of Homomorphisms between Linear Groups of the same Degree over Division Rings
• ON POSITIVE THEORIES OF GROUPS WITH REGULAR FREE LENGTH FUNCTIONS
• On the finite generation of linear groups over Hasse domains.
• Stable sandwich classification theorem for classical-like groups
• Homology of GL _n over algebraically closed fields
• The automorphisms of the linear groups over any integral domain.
• On the Structure of Local Orthogonal Groups
• Orthogonal Groups Over the Integers of a Local Field I
• The automorphisms of the standard sympletic group over any integral domain.
• The Structure of the Symplectic Group Over a Valuation Ring
• Orthogonal Groups Over R((π))
• Two-Dimensional Linear Groups Over Local Rings
• A presentation of SL ₂ for Euclidean imaginary quadratic number fields
• On the Automorphisms of Infinite Chevalley Groups
• Automorphisms of Two-Dimensional Linear Groups over Euclidean Domains
• The automorphisms of the orthogonal groups and their congruence subgroups over arithmetic domains.
• On K 2 of the Laurent Polynomial Ring
• Generators and relations for certain special linear groups
• The stable structure of quite general linear groups
• Generators, Relations and Coverings of Chevalley Groups Over Commutative Rings
• On the K ₂ of a Free Associative Algebra
• Automorphisms of GL n (R), R a Local Ring
• Sur les sous-groupes arithmétiques des groupes semi-simples déployés
• Coproducts and Some Universal Ring Constructions
• Symplectic Groups Over Local Rings
• Subnormal subgroups of E_n(R) have no free, non-abelian quotients, when n≧3
• Elementary Divisors and Modules
• Automorphisms of the Unimodular Group
• On the homology and cohomology of congruence subgroups
• On normal subgroups of Chevalley groups over commutative rings
• Bounded generation and Kazhdan's property (T)
• Intermediate semigroups are groups
• On abstract homomorphisms of Chevalley groups with nonreductive image. I
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item