Endotrivial modules for finite groups of Lie type

DOI10.1515/CRELLE.2006.045zbMath1106.20007OpenAlexW2039871093WikidataQ115236906 ScholiaQ115236906MaRDI QIDQ5479404

Nadia Mazza, Carlson, Jon F., Daniel K. Nakano

Publication date: 7 July 2006

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crelle.2006.045

zbMATH Keywords

finitely generated modulesPicard groupsfinite groups of Lie typestable module categoriesstable equivalencesendotrivial modules

Mathematics Subject Classification ID

Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Representations of finite groups of Lie type (20C33)

Related Items (23)

Endotrivial modules for finite groups via homotopy theory ⋮ Endo-trivial modules for finite groups with dihedral Sylow 2-subgroup ⋮ Connected components of the category of elementary Abelian \(p\)-subgroups. ⋮ Torsion free endotrivial modules for finite groups of Lie type ⋮ The group of endotrivial modules in the normal case. ⋮ Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup. ⋮ Torsion-free endotrivial modules. ⋮ 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 ⋮ Relative projectivity and relative endotrivial modules. ⋮ Endotrivial modules for the general linear group in a nondefining characteristic. ⋮ Endo-trivial modules for finite groups with Klein-four Sylow 2-subgroups. ⋮ Endotrivial modules: a reduction to \(p'\)-central extensions ⋮ \(p\)-groups with maximal elementary Abelian subgroups of rank 2. ⋮ Constructing endotrivial modules. ⋮ Trivial-source endotrivial modules for sporadic groups ⋮ The Dade group of a fusion system ⋮ 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.

Cites Work

• Endo-permutation modules over p-groups. I
• Unipotent elements, tilting modules, and saturation.
• The classification of torsion endo-trivial modules.
• A construction of endo-permutation modules
• Torsion endo-trivial modules

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