2-weights for general linear groups

DOI10.1016/0021-8693(92)90030-PzbMath0779.20003MaRDI QIDQ1194050

Jianbei An

Publication date: 27 September 1992

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

zbMATH Keywords

general linear groupfinite groupweightirreducible characterAlperin conjecturemodular irreducible representationsBrauer homomorphism\(r\)-blocknumber of \(B\)-weightsradical subgroup

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20)

Related Items

Propagating sharp group homology decompositions., Uno's invariant conjecture for Chevalley groups \(G_2(q)\) in nondefining characteristics., Equivariant correspondences and the inductive Alperin weight condition for type 𝖠, Alperin weight conjecture and related developments, On the local case in the Aschbacher theorem for symplectic and orthogonal groups, THE INDUCTIVE BLOCKWISE ALPERIN WEIGHT CONDITION FOR TYPE AND THE PRIME, Controlled 2-blocks of quasisimple groups, The inductive blockwise Alperin weight condition for \(\mathrm{PSL}_n(q)\) with \((n,q - 1)=1\), The inductive blockwise Alperin weight condition for \(\mathrm{PSL}_{n}(q)\) and \(\mathrm{PSU}_{n}(q)\) with cyclic outer automorphism groups, Maximal 2-local subgroups of \(F_4(q)\) and \(E_6^\eta(q)\)., Morita equivalences and the inductive blockwise Alperin weight condition for type 𝖠, On the inductive blockwise Alperin weight condition for type \(\mathsf{A}\), The essential 2-rank of general linear and unitary groups, Radical subgroups and the inductive blockwise Alperin weight conditions for \(\mathrm{PSp}_4(q)\), The blocks and weights of finite special linear and unitary groups, On the local case in the Aschbacher theorem for linear and unitary groups., The weighted fusion category algebra and the \(q\)-Schur algebra for \(\text{GL}_2(q)\)., Weights for Classical Groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weights for symmetric and general linear groups
• The blocks of finite general linear and unitary groups
• Automorphisms of extra special groups and nonvanishing degree 2 cohomology
• The automorphism group of an extraspecial \(p\)-group
• The Sylow 2-subgroups of the finite classical groups
• On the Orders of Maximal Subgroups of the Finite Classical Groups
• Characters of Solvable and Symplectic Groups
• Large Abelian Subgroups of p-Groups