Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup.

DOI10.4171/JEMS/358zbMath1276.20007OpenAlexW2046993141MaRDI QIDQ1932207

Nadia Mazza, Jacques Thévenaz, Carlson, Jon F.

Publication date: 17 January 2013

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/jems/358

zbMATH Keywords

Sylow 2-subgroupssyzygiesgeneralized quaternion groupsalmost split sequencesgroups of endotrivial modulesstable isomorphismsexotic endotrivial modulessemi-dihedral groups

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) 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 (12)

Endotrivial modules for finite groups via homotopy theory ⋮ Endo-trivial modules for finite groups with dihedral Sylow 2-subgroup ⋮ 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 ⋮ Endotrivial modules for the Schur covers of the symmetric and alternating groups ⋮ Integral Cayley graphs over semi-dihedral groups ⋮ Endotrivial modules for finite groups of Lie type \(A\) in nondefining characteristic ⋮ Toward a classification of endotrivial modules ⋮ Endo-trivial modules for finite groups with Klein-four Sylow 2-subgroups. ⋮ Endotrivial modules: a reduction to \(p'\)-central extensions ⋮ Trivial-source endotrivial modules for sporadic groups ⋮ Endotrivial modules for the sporadic simple groups and their covers.

Uses Software

• Magma

Cites Work

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