On the sources of simple modules in nilpotent blocks.

DOI10.1016/j.jalgebra.2008.03.009zbMath1144.20005OpenAlexW2026952152MaRDI QIDQ934064

Adam Salminen

Publication date: 29 July 2008

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

Full work available at URL: http://rave.ohiolink.edu/etdc/view?acc_num=osu1124221435

zbMATH Keywords

finite groupsdefect groupsDade groupsendo-permutation modulessimple modulessource algebrasrepresentations of finite groupsnilpotent blocks

Mathematics Subject Classification ID

Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Frobenius induction, Burnside and representation rings (19A22)

Related Items (3)

The structure of blocks with a Klein four defect group. ⋮ Endo-permutation modules arising from the action of a p-group on a defect zero block ⋮ On duality inducing automorphisms and sources of simple modules in classical groups

Cites Work

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• Affirmative answer to a question of Feit.
• Nilpotent blocks and their source algebras
• Endo-permutation modules over p-groups. I
• The group of endo-permutation modules
• The Solomon system \({\mathcal F}_{\text{Sol}}(3)\) does not occur as fusion system of a 2-block.
• The sources of simple modules ofp-solvable groups with elementary abelianp-sylow group of orderp²
• On the Glauberman and Watanabe correspondences for blocks of finite $p$-solvable groups

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