The Steinberg component of a finite group with a split (B,N)-pair

DOI10.1016/0021-8693(86)90242-5zbMath0633.20028OpenAlexW2015062705MaRDI QIDQ1096016

Nalsey B. Tinberg

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90242-5

zbMATH Keywords

Weyl groupinvolutionssemidirect productSteinberg moduleindecomposable componentsfinite group with an unsaturated split (B,N)-pair of characteristic pSteinberg component

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (5)

James' submodule theorem and the Steinberg module ⋮ On decomposition of modular representations from Cohen-Macaulay geometries ⋮ On the modular composition factors of the Steinberg representation ⋮ The Steinberg representation ⋮ On the homological construction of the Steinberg representation

Cites Work

• Unnamed Item
• Some indecomposable modules of groups with split (B,N)-pairs
• A characterization of the modular representations of finite groups with split \((B,N)\)-pairs
• Prime Power Representations of Finite Linear Groups II
• Modular Representations of Finite Groups with Unsaturated Split (B,N)-Pairs
• On a Theorem of H. Sawada

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