The Dade group of (almost) extraspecial \(p\)-groups.

DOI10.1016/j.jpaa.2004.02.008zbMath1055.20008OpenAlexW2031595475MaRDI QIDQ1878414

Serge Bouc, Nadia Mazza

Publication date: 19 August 2004

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.02.008

zbMATH Keywords

Dade groupsendo-permutation modulesextra special \(p\)-groupsTits buildingsendo-trivial modules

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)

Related Items (16)

Gluing endo-permutation modules ⋮ The group of endotrivial modules in the normal case. ⋮ The Whitehead group of (almost) extra-special \(p\)-groups with \(p\) odd ⋮ On a conjecture by Haipeng Qu ⋮ A tour of \(p\)-permutation modules and related classes of modules ⋮ The Roquette category of finite \(p\)-groups ⋮ The Dade group of a finite group. ⋮ Cohomology of symplectic groups and Meyer's signature theorem ⋮ Categorical constructions related to finite groups ⋮ Finite groups with a certain number of values of the Chermak–Delgado measure ⋮ Obstructions for gluing biset functors ⋮ Biset functors and genetic sections for \(p\)-groups ⋮ The Dade group of a \(p\)-group. ⋮ The classification of endo-trivial modules. ⋮ The Dade group of a fusion system ⋮ Imaginary transformations

Cites Work

• Unnamed Item
• Affirmative answer to a question of Feit.
• Finite soluble groups
• Two-graphs and doubly transitive groups
• Endo-permutation modules over p-groups. II
• The Dade group of a metacyclic \(p\)-group
• The group of endo-permutation modules
• The classification of torsion endo-trivial modules.
• A construction of endo-permutation modules
• Tensor induction of relative syzygies
• Endliche Gruppen I
• Torsion endo-trivial modules

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