The Dade group of a metacyclic \(p\)-group

DOI10.1016/S0021-8693(03)00328-4zbMath1029.20006OpenAlexW2073485676MaRDI QIDQ1403866

Nadia Mazza

Publication date: 20 August 2003

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-8693(03)00328-4

zbMATH Keywords

Dade groupsendo-permutation modulestensor productscapsmetacyclic \(p\)-groupsverticesindecomposable summands

Mathematics Subject Classification ID

Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite nilpotent groups, (p)-groups (20D15) Frobenius induction, Burnside and representation rings (19A22)

Related Items (7)

The Dade group of (almost) extraspecial \(p\)-groups. ⋮ Connected components of the category of elementary Abelian \(p\)-subgroups. ⋮ The classification of endo-trivial modules. ⋮ Rank 3 finitep-group actions on products of spheres ⋮ On duality inducing automorphisms and sources of simple modules in classical groups ⋮ Fusion systems on small 𝑝-groups ⋮ CONTROL OF FUSION IN FUSION SYSTEMS

Cites Work

• Affirmative answer to a question of Feit.
• Endo-permutation modules over p-groups. II
• The group of endo-permutation modules
• A construction of endo-permutation modules
• Tensor induction of relative syzygies
• Splendid Equivalences: Derived Categories and Permutation Modules
• Torsion endo-trivial modules

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