The Roquette category of finite \(p\)-groups

DOI10.4171/JEMS/573zbMath1329.18007arXiv1111.3469MaRDI QIDQ894195

Serge Bouc

Publication date: 27 November 2015

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.3469

zbMATH Keywords

\(p\)-groupbisetgenetic subgroupsrational biset functorRoquette

Mathematics Subject Classification ID

Special categories (18B99) Representation theory of groups (20C99) Category of groups (20J15)

Related Items (1)

\(K\)-theory, genotypes, and biset functors

Uses Software

• GAP

Cites Work

• Unnamed Item
• Realisierung von Darstellungen endlicher nilpotenter Gruppen. (Realization of representations of finite-dimensional nilpotent groups)
• Rhetorical biset functors, rational \(p\)-biset functors and their semisimplicity in characteristic zero
• Biset functors for finite groups
• Biset functors and genetic sections for \(p\)-groups
• The functor of rational representations for \(p\)-groups.
• The Dade group of (almost) extraspecial \(p\)-groups.
• Set functors equipped with a double action
• The functor of units of Burnside rings for \(p\)-groups
• Rational \(p\)-biset functors
• The Dade group of a \(p\)-group.
• Detection theorems for K-theory and L-theory
• Galois Groups and Fundamental Groups
• Torsion endo-trivial modules

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