Endotrivial modules for $p$-solvable groups

DOI10.1090/S0002-9947-2011-05307-9zbMath1250.20007OpenAlexW1969890060MaRDI QIDQ3092824

Nadia Mazza, Carlson, Jon F., Jacques Thévenaz

Publication date: 11 October 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-2011-05307-9

zbMATH Keywords

finite solvable groupstorsion groups\(p\)-solvable groupsendotrivial modules

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Frobenius induction, Burnside and representation rings (19A22)

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Cites Work

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• The classification of endo-trivial modules.
• The group of endotrivial modules in the normal case.
• \(p\)-groups with maximal elementary Abelian subgroups of rank 2.
• Endo-permutation modules over p-groups. II
• Endotrivial modules in the cyclic case.
• Constructing endotrivial modules.
• The classification of torsion endo-trivial modules.
• The group of endotrivial modules for the symmetric and alternating groups
• Endotrivial modules for the symmetric and alternating groups
• Endo-permutation modules as sources of simple modules
• Endotrivial modules for finite groups of Lie type
• Torsion endo-trivial modules

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