The number of trivial composition factors of the Steinberg module

DOI10.1007/BF01188519zbMath0669.20036MaRDI QIDQ1118693

Gerhard Hiss

Publication date: 1990

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

Weyl groupfinite groups of Lie typeChevalley groupfinite groupsimple algebraic groupsSteinberg modulenumber of trivial composition factorssplit BN-pair

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05)

Related Items

Decomposition numbers and global properties, On the Navarro-Willems conjecture for blocks of finite groups., Blocks and brauer trees for the groupsG₂(2^k), G₂(3^k), On the quadratic type of some simple self-dual modules over fields of characteristic two, Decomposition numbers and local properties, On the prime graph question for integral group rings of 4-primary groups I, Primes and degrees of Brauer characters, First cohomology groups of Chevalley groups in cross characteristic., On the modular composition factors of the Steinberg representation, Principal Blocks and the Steinberg Character, Character separation and principal covering., The trivial intersection problem for characters of principal indecomposable modules., On the homological construction of the Steinberg representation, The Steinberg Character of Finite Classical Groups

Cites Work

• On quotients of Hom-functors and representations of finite general linear groups. I
• On the decomposition numbers of \(G_ 2(q)\)
• Über die Zerlegungszahlen der Suzukigruppen Sz(q)
• Prime Power Representations of Finite Linear Groups II
• Irreducible brauer characters of the 3-dimensional special unitary groups in non-defining characteristic^∗
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