zbMath0723.20006MaRDI QIDQ3996420
Roger W. Carter
Publication date: 17 September 1992
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A short introduction to the algebra, geometry, number theory and physics of moonshine,
Sylow subgroups and the number of conjugacy classes of \(p\)-elements.,
On the Dirichlet polynomial of finite groups of Lie type.,
Local automorphisms of finite dimensional simple Lie algebras,
Strictly transversal slices to conjugacy classes in algebraic groups,
Pseudofinite groups as fixed points in simple groups of finite Morley rank,
On the irreducibility of symmetrizations of cross-characteristic representations of finite classical groups.,
The inductive blockwise Alperin weight condition for \(G_{2}(q)\) and \(^3D_4(q)\),
The \(R_\infty\) and \(S_\infty\) properties for linear algebraic groups,
Modules for algebraic groups with finitely many orbits on totally singular 2-spaces,
Twisted conjugacy in classical Chevalley groups over certain domains of positive characteristic,
On the coordinate ring of spherical conjugacy classes.,
One necessary condition for the regularity of a \(p\)-group and its application to Wehrfritz's problem,
Krull dimension of Iwasawa algebras.,
Indecomposable Sylow 2-subgroups of simple groups.,
Maximal subloops of finite simple Moufang loops.,
An algorithm for computing weight multiplicities in irreducible modules for complex semisimple Lie algebras,
Period of the Ikeda type lift for the exceptional group of type \(E_{7,3}\),
The number of composition factors of order \(p\) in completely reducible groups of characteristic \(p\),
The flag-transitive \(C_ 3\)-geometries of finite order,
Intersection of conjugacy classes with Bruhat cells in Chevalley groups: the cases \(\text{SL}_n(K)\), \(\text{GL}_n(K)\).,
The Chevalley group \(G_2(2)\) of order 12096 and the octonionic root system of \(E_7\).,
Identification of matrix generators of a Chevalley group.,
Singular structure of Toda lattices and cohomology of certain compact Lie groups,
Generators for finite groups with a unique minimal normal subgroup,
Locally quadratic modules and minuscule representations,
On centres of 3-blocks of the Ree groups \(^2G_2(q)\),
Describing finite groups by short first-order sentences,
Generating pairs and group actions,
On semisimple classes and semisimple characters in finite reductive groups.,
\(Sp_6(2^a)\) is ``good for the McKay, Alperin weight, and related local-global conjectures., Automorphisms and isomorphisms of some \(p\)-ary bent functions, The \(R_\infty\)-property for Chevalley groups of types \(B_l\), \(C_l\), \(D_l\) over integral domains., Bass units as free factors in integral group rings of simple groups., On a certain class of 2-local subgroups in finite simple groups, Transitive groups on the line at infinity of a finite affine plane, On refined Bruhat decompositions and endomorphism algebras of Gelfand-Graev representations, On the distribution of the major index on standard Young tableaux, Automorphisms of elementary adjoint Chevalley groups of types \(A_l\), \(D_l\), and \(E_l\) over local rings with \(1/2\)., Simultaneous computation of Hecke operators, Embeddings of \(Alt_n\) and its perfect covers for \(n\geq 6\) in exceptional complex Lie groups., New and old results on spherical varieties via moduli theory, Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type VI. Suzuki and Ree groups, First cohomology groups of Chevalley groups in cross characteristic., Birational geometry of symplectic quotient singularities, Commutator relations and structure constants for rank 2 Kac-Moody algebras, Finite groups whose maximal subgroups of Sylow \(p\)-subgroups admit a \(p\)-solvable supplement., Finite REA-groups are solvable, Normalizers of Sylow subgroups in finite linear and unitary groups, Brauer algebras of type \(\mathrm I_2^n\) (\(n\geq 5\))., Automorphisms of Chevalley groups of types \(A_l\), \(D_l\), or \(E_l\) over local rings with \(1/2\)., Width of groups of type \(\mathrm E_6\) with respect to root elements. II., Double centralizers of unipotent elements in simple algebraic groups of type \(E_7\) and \(E_8\)., Suzuki groups as expanders., Embeddings of \(\text{PGL}_2(31)\) and \(\text{SL}_2(32)\) in \(E_8(\mathbb{C})\). With appendices by Michael Larsen and J. -P. Serre, On the cohomology of the finite Chevalley groups, Chevalley groups of types \(B_n\), \(C_n\), \(D_n\) over certain fields do not possess the \(R_{\infty}\)-property, Constructive recognition of \(\text{SL}_3(q)\)., Groups equal to a product of three conjugate subgroups, Intersection and incidence distances between parabolic subgroups of a reductive group, A minimal even type of the 2-adic Weil representation, Spin covers of maximal compact subgroups of Kac-Moody groups and spin-extended Weyl groups, Commutator width of Chevalley groups over rings of stable rank 1, Schur covers and Carlitz's conjecture, Restriction of irreducible modules for \(\mathrm{Spin}_{2n+1}(K)\) to \(\mathrm{Spin}_{2n}(K)\), The irreducible characters of the Sylow \(p\)-subgroups of the Chevalley groups \(\mathrm{D}_{6}(p^f)\) and \(\mathrm{E}_{6}(p^f)\), Freudenthal triple systems by root system methods, Exceptional groups of Lie type and flag-transitive triplanes, Automorphisms of Chevalley groups of type \(F_4\) over local rings with \(1/2\)., Products of conjugacy classes in Chevalley groups. I: Extended covering numbers, Products of conjugacy classes in Chevalley groups. II: Covering and generation, Counting conjugacy classes in symmetric spaces over \(\mathbb{F}_q\), A finiteness condition on subgroups of large derived length., Automorphisms of Chevalley groups of type \(B_l\) over local rings with \(1/2\)., Automorphisms of Chevalley groups of types \(A_l\), \(D_l\), \(E_l\) over local rings without \(1/2\)., Irreducible disconnected subgroups of exceptional algebraic groups., Affine planes admitting a collineation group with a transitive action on the line at infinity, Some locally 3-arc transitive graphs constructed from triality, Automorphisms of Chevalley groups of different types over commutative rings., A Moonshine path for \(5A\) and associated lattices of ranks 8 and 16., Invariants of \(\mathrm G_2\) and Spin(7) in positive characteristic, Constructive recognition of classical groups in odd characteristic., Automorphisms of Chevalley groups of type \(G_2\) over local rings without \(1/2\)., Covering numbers for Chevalley groups, Signalizers and balance in groups of finite Morley rank., Regular sequences and random walks in affine buildings, Conjugacy of \(\text{Alt}_5\) and \(\text{SL}(2,5)\) subgroups of \(E_6(\mathbb{C})\), \(F_4(\mathbb{C})\), and a subgroup of \(\mathbb{E}_8(\mathbb{C})\) of type \(A_2E_6\), Gauss sums for \(O(2n+1,q)\), \(\Gamma\)-invariant ideals in Iwasawa algebras., On classifying all full factorisations and multiple-factorisations of the finite almost simple groups, Intersection of conjugacy classes of Chevalley groups with Gauss cells, A reduction theorem for nonsolvable finite groups, Tableau posets and the fake degrees of coinvariant algebras, Gauss decomposition with prescribed semisimple part: short proof, On minimal conditions related to Miller-Moreno type groups, Fusion systems on a Sylow \(p\)-subgroup of \(G_2(p^n)\) or \(PSU_4(p^n)\), Brauer algebras of multiply laced Weyl type, Hypergeometric functions of second kind and spherical functions on an ordered symmetric space, Twisted conjugacy classes in Chevalley groups., Quantum mechanics and the principle of least radix economy, Normal forms in differential Galois theory for the classical groups, Geometry of root elements in groups of type $\mathrm E_{6}$, Maximal connected 𝑘-subgroups of maximal rank in connected reductive algebraic 𝑘-groups, The Multiplicity Free Permutation Representations of the Ree Groups2G2(q), the Suzuki Groups2B2(q), and Their Automorphism Groups, On a question of B. H. Neumann, Automorphisms and opposition in spherical buildings of exceptional type, I, Actions of arithmetic groups on homology spheres and acyclic homology manifolds, Mod 2 cohomology of the unitary groups u3(2n), Representatives for unipotent classes and nilpotent orbits, Twisted conjugacy classes in twisted Chevalley groups, A combinatorial property of certain infinite groups, Specht modules for finite reflection groups, ON MODEL-THEORETIC CONNECTED GROUPS, Spectrum functions for certain classes of nilpotent groups, Factorization of holomorphic matrices and Kazhdan's property (T), Non-existence of integral Hopf orders for twists of several simple groups of Lie type, Infinite affine, hyperbolic and Lorentzian Weyl groups with their associated Calogero models, On some questions related to integrable groups, Stable vectors in Moy–Prasad filtrations, ON THE CHARACTERISATION OF SPORADIC SIMPLE GROUPS BY CODEGREES, On input and Langlands parameters for epipelagic representations, A Prolog assisted search for new simple Lie algebras, Enveloping algebras and ideals of the niltriangular subalgebra of the Chevalley algebra, Property (𝑇) for Groups Graded by Root Systems, Noncommutative probability of type D, On the cohomology of integral p-adic unipotent radicals, A classification of unipotent spherical conjugacy classes in bad characteristic, Writing Elements of PSL(2,q) as Commutators, L2-Betti numbers of totally disconnected groups and their approximation by Betti numbers of lattices, Gauss decomposition with prescribed semisimple part in chevalley groups iii: Finite twisted groups, Some remarks on Richardson orbits in complex symmetric spaces, A new family of irreducible subgroups of the orthogonal algebraic groups, Invertible Preservers and Algebraic Groups II: Preservers of Similarity Invariants and Overgroups ofPSLn(F), ON ROOT SUBSYSTEMS AND INVOLUTIONS INSn, On small world non-Sunada twins and cellular Voronoi diagrams, Conjugacy of Alt5 and SL(2,5) subgroups of E7( C), ON THE ISOMORPHIC DESCRIPTION OF CHIRAL SYMMETRY BREAKING BY NONUNITARY LIE GROUPS, Nonassociative algebras and groups with property (T), A rank 3 tangent complex of PSp4(q), q odd, Recognising dualities in finite simple groups, Classification of finite quasisimple groups which embed in exceptional algebraic groups, Finite Groups withp-Multiplicative Probabilistic Zeta Function, Generalized perfect isometries in some groups of Lie rank one., The zeta function of sl2(ℤ), CLASSIFICATION OF SUBALGEBRAS OF THE CAYLEY ALGEBRA OVER A FINITE FIELD, Generic \(2\)-coverings of finite groups of Lie type., Can one see the signs of structure constants?, Real weights, bound states and duality orbits, The depth of invariant rings and cohomology. Appendix by Kay Magaard: Visible flatness for irreducible modules of groups with BN-pair, Fifty years of the finite nonperiodic Toda lattice: a geometric and topological viewpoint, On refinements of the Bruhat decomposition, Finite groups with complemented minimal p-subgroups, ALGEBRAIC ASPECTS OF SPECTRAL THEORY, The Invariant Fields of the Sylow Groups of Classical Groups in the Natural Characteristic, Relative Gröbner–Shirshov bases for algebras and groups, Weight elements of Chevalley groups, Numerology of square equations, Mathews' Identity for Prehomogeneous Vector Spaces of Heisenberg Parabolic Type, Odd-Degree Characters and Self-Normalizing Sylow 2-Subgroups: A Reduction to Simple Groups, Products of Sylow Subgroups in Suzuki and Ree Groups, Galois automorphisms on Harish-Chandra series and Navarro’s self-normalizing Sylow $2$-subgroup conjecture, $E_8$, the most exceptional group, Characters of finite groups with split $\left( {B, N} \right)$-pairs, The reductive subgroups of $F_4$, The magic star of exceptional periodicity, The number of $p$-elements in finite groups of Lie type of characteristic $p$, Unnamed Item, On Finite Groups in Which Cyclic Subgroups of the Same Order are Conjugate, On the conjectures of J. Thompson and O. Ore, Width of groups of type $\mathrm E_{6}$ with respect to root elements. I, Long root tori in Chevalley groups, Unitriangular actions on quadratic forms and character degrees., Unnamed Item, Non-expander Cayley Graphs of Simple Groups, The maximal subgroups of, Finite simple groups which projectively embed in an exceptional Lie group are classified!, Parametrized symmetric groups and the second homology of a group, Double coset Markov chains, Lie algebra fermions, A Simple Generalization of the ElGamal Cryptosystem to Non-Abelian Groups II, Two amalgams related to the alternating group on six letters, A new maximal subgroup of 𝐸₈ in characteristic 3, Semiregular elements in cubic vertex-transitive graphs and the restricted Burnside problem