DOI10.1023/A:1007853629389zbMath0944.20031OpenAlexW1966249881MaRDI QIDQ1970563
Alexei Stepanov, Nikolai A. Vavilov
Publication date: 29 June 2000
Published in: \(K\)-Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1007853629389
The normalizer of the elementary linear group of a module arising when the base ring is extended ⋮
Subgroups of the general linear group that contain elementary subgroup over a rank 2 commutative ring extension ⋮
Width of SL(n,𝒪S,I) ⋮
Bounded reduction of orthogonal matrices over polynomial rings ⋮
On the description of overgroups of \(E(m,R)\otimes E(n,R)\). ⋮
Decomposition of transvections for automorphisms. ⋮
Decomposition of transvections: An algebro-geometric approach ⋮
On general linear groups over exchange rings ⋮
An $\mathrm {A}_2$-proof of structure theorems for Chevalley groups of types $\mathrm {E}_6$ and $\mathrm {E}_7$ ⋮
Normality of the elementary subgroup in \(\mathrm{sp}(2,A)\) ⋮
The commutators of classical groups ⋮
Linear groups over general rings. I: Generalities. ⋮
On subgroups normalized by \(\mathrm{EO}(2l,R)\). ⋮
Overgroups of elementary symplectic groups ⋮
Multiple commutator formulas. ⋮
Multiple commutators of elementary subgroups: end of the line ⋮
Reverse decomposition of unipotents over noncommutative rings. I: General linear groups ⋮
Saint Petersburg school of the theory of linear groups. I: Prehistory ⋮
Involution widths of skew linear groups generated by involutions ⋮
Bounded reduction for Chevalley groups of types \(E_6\) and \(E_7\) ⋮
Overgroups of subsystem subgroups in exceptional groups: inside a sandwich ⋮
Sandwich classification for \(\mathrm{GL}_{n}(R)\), \(\mathrm{O}_{2n}(R)\) and \(\mathrm{U}_{2n}(R,\lambda)\) revisited ⋮
Commutators of elementary subgroups: curiouser and curiouser ⋮
Overgroups of exterior powers of an elementary group. levels ⋮
Commutators of congruence subgroups in the arithmetic case ⋮
A new look at the decomposition of unipotents and the normal structure of Chevalley groups ⋮
Generating sets consisting of pairwise conjugate elements ⋮
Relative commutator calculus in Chevalley groups. ⋮
Overgroups of $\mathrm{EO}(n,R)$ ⋮
Commutators of relative and unrelative elementary groups, revisited ⋮
AN A3-PROOF OF STRUCTURE THEOREMS FOR CHEVALLEY GROUPS OF TYPES E6 AND E7 ⋮
Calculations in exceptional groups over rings. ⋮
Toward the reverse decomposition of unipotents. II: The relative case ⋮
Relative unitary commutator calculus, and applications. ⋮
Standard commutator formula. ⋮
Decomposition of unipotents for \(\mathrm{E}_6\) and \(\mathrm{E}_7\): 25 years after ⋮
On the length of commutators in Chevalley groups. ⋮
The yoga of commutators. ⋮
Relative subgroups in Chevalley groups ⋮
Parabolic subgroups of \(\mathrm{SL}_n\) and \(\mathrm{Sp}_{2l}\) over a Dedekind ring of arithmetic type. ⋮
More variations on the decomposition of transvections. ⋮
Dennis-Vaserstein type decompositions. ⋮
Sandwich classification for \(O_{2n+1}(R)\) and \(U_{2n+1}(R,\Delta)\) revisited ⋮
Can one see the signs of structure constants? ⋮
Towards the reverse decomposition of unipotents ⋮
Unrelativized standard commutator formula ⋮
Explicit equations for exterior square of the general linear group ⋮
Chevalley groups of type E7 in the 56-dimensional representation ⋮
Normalizers of classical groups arising under extension of the base ring ⋮
Yet another variation on the theme of decomposition of transvections. ⋮
Generation of relative commutator subgroups in Chevalley groups. II ⋮
Localization-completion strikes again: relative \(K_1\) is nilpotent by Abelian ⋮
Normalizer of the Chevalley group of type ${\mathrm E}_6$ ⋮
$\mathrm A_2$-proof of structure theorems for Chevalley groups of type $\mathrm F_4$ ⋮
Elementary subgroups of isotropic reductive groups ⋮
Numerology of square equations ⋮
Parabolic subgroups of \(\mathrm{SO}_{2l}\) over a Dedekind ring of arithmetic type ⋮
Overgroups of subsystem subgroups in exceptional groups: levels. ⋮
Calculations in exceptional groups, an update. ⋮
Chevalley groups over commutative rings. I: Elementary calculations ⋮
Parabolic factorizations of split classical groups ⋮
Overgroups of $E(m,R)⊗E(n,R)$ I. Levels and normalizers ⋮
${\mathrm A}_3$-proof of structure theorems for Chevalley groups of types ${\mathrm E}_6$ and ${\mathrm E}_7$ II. Main lemma ⋮
Unitary Steinberg group is centrally closed ⋮
On the normal structure of the general linear group over a ring ⋮
Basic reductions in the description of normal subgroups. ⋮
Subgroups of symplectic groups that contain a subsystem subgroup. ⋮
The reverse decomposition of unipotents for bivectors ⋮
Another presentation for symplectic Steinberg groups ⋮
Commutators of relative and unrelative elementary unitary groups ⋮
A third look at weight diagrams ⋮
\(K_{1}\) of Chevalley groups are nilpotent ⋮
Multiple commutator formulas for unitary groups
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