A construction of endo-permutation modules

DOI10.1515/jgth.2001.005zbMath0972.20003OpenAlexW1976847738MaRDI QIDQ2705005

J. L. Alperin

Publication date: 20 August 2001

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/d3fc807b08850dd53ff46ca5fffaf1261197621d

zbMATH Keywords

Dade groupsendo-permutation modulesfinite \(p\)-groupsendo-trivial modules

Mathematics Subject Classification ID

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

Related Items (31)

The Dade group of (almost) extraspecial \(p\)-groups. ⋮ Endotrivial modules for finite groups via homotopy theory ⋮ Endo-monomial modules over \(p\)-groups and their classification in the Abelian case. ⋮ Borel-Smith functions and the Dade group ⋮ Connected components of the category of elementary Abelian \(p\)-subgroups. ⋮ Gluing endo-permutation modules ⋮ Torsion free endotrivial modules for finite groups of Lie type ⋮ The group of endotrivial modules in the normal case. ⋮ Endotrivial modules for nilpotent restricted Lie algebras ⋮ Dade groups for finite groups and dimension functions ⋮ Torsion-free endotrivial modules. ⋮ The endomorphism ring of the trivial module in a localized category ⋮ A tour of \(p\)-permutation modules and related classes of modules ⋮ The Dade group of a metacyclic \(p\)-group ⋮ The Dade group of a finite group. ⋮ Stable auto-equivalences for local symmetric algebras ⋮ Endotrivial modules for finite groups of Lie type \(A\) in nondefining characteristic ⋮ Toward a classification of endotrivial modules ⋮ Categorical constructions related to finite groups ⋮ Endotrivial modules for the general linear group in a nondefining characteristic. ⋮ Endotrivial modules for finite group schemes ⋮ Equivariant Moore spaces and the Dade group ⋮ Gluing representations via idempotent modules and constructing endotrivial modules. ⋮ Picard groups in triangular geometry and applications to modular representation theory ⋮ Monomial Modules and Endo-Monomial Modules ⋮ The Dade group of a \(p\)-group. ⋮ The classification of endo-trivial modules. ⋮ Constructing endotrivial modules. ⋮ Trivial-source endotrivial modules for sporadic groups ⋮ Endotrivial modules for finite groups of Lie type ⋮ Maximal elementary abelian subgroups of rank 2

Cites Work

• Endo-permutation modules over p-groups. I
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