Some simple biset functors

DOI10.1515/jgth-2021-0201OpenAlexW3159998891MaRDI QIDQ2111335

Serge Bouc

Publication date: 13 January 2023

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

Full work available at URL: https://arxiv.org/abs/2105.07234

Mathematics Subject Classification ID

Group theory and generalizations (20-XX)

Cites Work

• The composition factors of the functor of permutation modules
• Biset functors for finite groups
• On the unit group of the Burnside ring as a biset functor for some solvable groups
• The \(-_{+}\) and \(-^{+}\) constructions for biset functors
• Fibered \(p\)-biset functor structure of the fibered Burnside rings
• Set functors equipped with a double action
• Simple biset functors and double Burnside ring
• The group of endo-permutation modules
• Fibered biset functors
• Obstructions for gluing biset functors
• Essential support of Green biset functors via morphisms
• The center of a Green biset functor
• Around evaluations of biset functors
• The functor of units of Burnside rings for \(p\)-groups
• The Dade group of a \(p\)-group.
• Some deformations of the fibred biset category