The group of endotrivial modules for the symmetric and alternating groups
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Publication:3400092
DOI10.1017/S0013091508000618zbMath1217.20004MaRDI QIDQ3400092
Nadia Mazza, Carlson, Jon F., David J. Hemmer
Publication date: 5 February 2010
Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)
symmetric groupsHeller translatesalternating groupsstable module categoriesendotrivial modulesendopermutation modules
Representations of finite symmetric groups (20C30) 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 (15)
Endotrivial modules for finite groups via homotopy theory ⋮ Modular representations of finite groups with trivial restriction to Sylow subgroups. ⋮ Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup. ⋮ A tour of \(p\)-permutation modules and related classes of modules ⋮ Endotrivial modules for the Schur covers of the symmetric and alternating groups ⋮ Endotrivial modules for finite groups of Lie type \(A\) in nondefining characteristic ⋮ Toward a classification of endotrivial modules ⋮ Endotrivial modules for the general linear group in a nondefining characteristic. ⋮ Endotrivial modules for finite group schemes ⋮ Endo-trivial modules for finite groups with Klein-four Sylow 2-subgroups. ⋮ Trivial-source endotrivial modules for sporadic groups ⋮ Endotrivial modules for $p$-solvable groups ⋮ The stable category and invertible modules for infinite groups ⋮ On endotrivial modules for Lie superalgebras ⋮ Endotrivial modules for the sporadic simple groups and their covers.
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