On Bouc's and Thévenaz's conjectures on \(B\)-groups

DOI10.1016/J.JALGEBRA.2018.06.006zbMath1433.19002OpenAlexW2811102735WikidataQ122927399 ScholiaQ122927399MaRDI QIDQ1663516

Xingzhong Xu, Ji Ping Zhang

Publication date: 21 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2018.06.006

zbMATH Keywords

Burnside ring\(B\)-group

Mathematics Subject Classification ID

Special categories (18B99) Frobenius induction, Burnside and representation rings (19A22) Category of groups (20J15)

Cites Work

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• The composition factors of the functor of permutation modules
• Biset functors for finite groups
• Idempotents of Burnside rings and Dress induction theorem
• Idempotent formula for the Burnside algebra with applications to the \(p\)-subgroup simplicial complex.
• A conjecture on \(B\)-groups
• A characterisation of solvable groups
• The Finite Simple Groups

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