A reflection sieve for finite BN-pairs of types \(A_n\), \(B_n\) and \(C_n\).

DOI10.1016/0021-8693(81)90333-1zbMath0468.20036OpenAlexW2038562493MaRDI QIDQ1156239

David B. Surowski

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0021-8693(81)90333-1

zbMATH Keywords

Weyl groupsparabolic subgroupshomologySteinberg characterpermutation charactersvirtual charactersreflection representationfinite group with BN-pairTits complex

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Homological methods in group theory (20J05) Cohomology theory for linear algebraic groups (20G10)

Related Items

A family of homology representations of finite groups of type \(B_ n\), Representations of finite groups, Reflection compound representations of groups of type A//n,B//n or \(C_ n\)., The spherical building and regular semisimple elements, Reflection sieve obstructions in finite groups of type \(D_ n\).

Cites Work

• The orders of the finite Chevalley groups
• The Steinberg character of a finite group with a \((B,N)\)-pair
• On centralizer rings and characters of representations of finite groups
• A decomposition of the group algebra of a finite Coxeter group
• Hecke algebras and characters of parabolic type of finite groups with (B, N)-pairs
• p-adic curvature and the cohomology of discrete subgroups of p-adic groups
• Homology representations of finite groups of Lie type
• Unnamed Item
• Unnamed Item