Cohomology of split group extensions. II

DOI10.1016/0021-8693(77)90360-XzbMath0352.18021MaRDI QIDQ1235758

Chih-Han Sah

Publication date: 1977

Published in: Journal of Algebra (Search for Journal in Brave)

Mathematics Subject Classification ID

Cohomology of groups (20J06)

Related Items (26)

Invariant lattices of typeF₄andF₄: the automorphism groups ⋮ Lifting group representations to maximal Cohen-Macaulay representations ⋮ Cohomology of finite chevalley groups with coefficients in modules with 1-dimensional weight spaces ⋮ On the cohomology of algebraic and related finite groups ⋮ Third homology of \(\mathrm{SL}(2,\mathbb R)\) made discrete ⋮ Automorphisms of descending mod-\(p\) central series ⋮ On representations of general linear groups over principal ideal local rings of length two. ⋮ The image of the restriction map on 2-cohomology ⋮ Automorphisms of group extensions and differentials in the Lyndon-Hochschild-Serre spectral sequence ⋮ The second degree cohomology of finite orthogonal groups. II ⋮ 2-cohomologies of the groups \(\text{SL}(n,q)\). ⋮ Representations of \(SL_n\) over finite local rings of length two ⋮ Finite groups admitting the extensions of the automorphisms of a maximal elementary Abelian 2-subgroup ⋮ THREE-DIMENSIONAL ISOLATED QUOTIENT SINGULARITIES IN EVEN CHARACTERISTIC ⋮ The Second Cohomology of SimpleSL₃-Modules ⋮ Linear groups of degree at most 27 over residue rings modulo \(p^k\). ⋮ The inverse deformation problem ⋮ On a 2-local subgroup involving \(G_2(2^n)\), \(n\geq 2\) ⋮ On the cohomology of the finite special linear groups. I, II ⋮ Exact sequences in the cohomology of a group extension ⋮ The mod-p cohomology rings of metacyclic groups ⋮ Some 3-transposition cohomology ⋮ Change of rings and characteristic classes ⋮ A structure theorem for subgroups of $GL_n$ over complete local Noetherian rings with large residual image ⋮ On the automorphism group of extraspecial 2-groups ⋮ Covers of point-hyperplane graphs

Cites Work

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• Cohomology of finite groups of Lie type. I
• Cohomology of split group extensions
• Automorphisms of extra special groups and nonvanishing degree 2 cohomology
• Seminar on algebraic groups and related finite groups. Held at the Institute for Advanced Study, Princeton/N.J., 1968/69
• Sur certains groupes d'opérateurs unitaires
• Cohomology of algebraic groups
• On the cohomology and K-theory of the general linear groups over a finite field
• Cohomology Operations (AM-50)
• The Cohomology of Group Extensions
• Characteristic Classes for Modules Over Groups. I
• Automorphisms of finite groups

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