The generalized Burnside rings with respect to a collection of self-normalizing subgroups

DOI10.1016/J.JALGEBRA.2011.02.004zbMath1234.19001OpenAlexW1966532051MaRDI QIDQ652179

Masato Sawabe, Fumihito Oda

Publication date: 19 December 2011

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.02.004

zbMATH Keywords

Euler characteristicgeneralized Burnside ringLefschetz invariantmark homomorphismMöbius algebraradical \(p\)-subgroup

Mathematics Subject Classification ID

Frobenius induction, Burnside and representation rings (19A22)

Related Items (2)

Categorical constructions related to finite groups ⋮ The table of marks, the Kostka matrix, and the character table of the symmetric group

Cites Work

• The generalized Burnside ring of a finite group
• Idempotents of Burnside rings and Dress induction theorem
• Permutation representations arising from simplicial complexes
• Idempotent formula for the Burnside algebra with applications to the \(p\)-subgroup simplicial complex.
• A collection of subgroups for the generalized Burnside ring
• ON A $p$-LOCAL GEOMETRY ASSOCIATED WITH A COMPLEX OF NON-TRIVIAL $p$-SUBGROUPS
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