Endotrivial modules: a reduction to \(p'\)-central extensions

DOI10.2140/pjm.2017.287.423zbMath1435.20018OpenAlexW2239011825MaRDI QIDQ521743

Caroline Lassueur, Jacques Thévenaz

Publication date: 12 April 2017

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2017.287.423

zbMATH Keywords

perfect groupscentral extensionsSchur multipliersendotrivial modules

Mathematics Subject Classification ID

Modular representations and characters (20C20) Projective representations and multipliers (20C25)

Related Items (5)

Endotrivial modules for finite groups via homotopy theory ⋮ Trivial source endo-trivial modules for finite groups with semi-dihedral Sylow 2-subgroups ⋮ A tour of \(p\)-permutation modules and related classes of modules ⋮ The subgroup structure of finite groups ⋮ Toward a classification of endotrivial modules

Cites Work

• Simple endotrivial modules for quasi-simple groups
• Torsion-free endotrivial modules.
• On endo-trivial modules for \(p\)-solvable groups.
• Endotrivial modules for the general linear group in a nondefining characteristic.
• Endotrivial modules for the Schur covers of the symmetric and alternating groups
• Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup.
• Endotrivial modules for the sporadic simple groups and their covers.
• Universal \(p^\prime\)-central extensions
• Endotrivial modules in the cyclic case.
• The classification of torsion endo-trivial modules.
• Simple endotrivial modules for linear, unitary and exceptional groups.
• Endo-trivial modules for finite groups with dihedral Sylow 2-subgroup
• Endotrivial modules for $p$-solvable groups
• Endotrivial modules for the symmetric and alternating groups
• Endotrivial modules for finite groups of Lie type

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