Irreducible components and isomorphisms of the Burnside ring

DOI10.1515/JGT.2008.052zbMath1153.19002OpenAlexW2004726776MaRDI QIDQ3544297

Florian Luca, Wolfgang Kimmerle, Alberto Gerardo Raggi-Cárdenas

Publication date: 5 December 2008

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

Full work available at URL: https://doi.org/10.1515/jgt.2008.052

Mathematics Subject Classification ID

Frobenius induction, Burnside and representation rings (19A22)

Related Items (4)

Finite groups isospectral to simple groups ⋮ On finite groups isospectral to simple classical groups. ⋮ Two Nonisomorphic Groups of Order 96 with Isomorphic Tables of Marks and Noncorresponding Centres and Abelian Subgroups ⋮ THE BURNSIDE RING FOR FINITE NILPOTENT GROUPS AND ITS ZETA FUNCTION

Cites Work

• Equivariant stable homotopy theory and idempotents of Burnside rings
• On the unit groups of Burnside rings
• Idempotents of Burnside rings and Dress induction theorem
• Prime graph components of finite groups
• Abelian and Hamiltonian groups with isomorphic Burnside rings are isomorphic
• The orbit of the regular G-set under the full automorphism group of the Burnside ring of a finite group G
• Normalizing isomorphisms between Burnside rings
• A characterisation of solvable groups
• PRIME GRAPH COMPONENTS OF FINITE SIMPLE GROUPS
• Isomorphic burnside rings
• On the Isomorphism Problem for Burnside Rings
• Nonsolvable finite groups all of whose local subgroups are solvable
• Composition factors from the table of marks

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