Abelian and Hamiltonian groups with isomorphic Burnside rings are isomorphic

DOI10.1007/BF01191875zbMath0811.20004OpenAlexW2014609264MaRDI QIDQ1205554

Ernesto Vallejo, Alberto Gerardo Raggi-Cárdenas

Publication date: 1 April 1993

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01191875

zbMATH Keywords

Burnside ringfinite abelian groupsGrothendieck ringfinite Hamiltonian groupsfinite \(G\)-sets

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Grothendieck groups, (K)-theory, etc. (16E20) Group rings (16S34) Finite abelian groups (20K01) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Homological methods in group theory (20J05) Frobenius induction, Burnside and representation rings (19A22)

Related Items (3)

Normalizing isomorphisms between Burnside rings ⋮ Irreducible components and isomorphisms of the Burnside ring ⋮ Composition factors from the table of marks

Cites Work

• Fonction de Möbius d'un groupe fini et anneau de Burnside. (Möbius function of a finite group and the Burnside ring)
• Isomorphic Burnside rings
• A simple proof for a result by Kratzer and Thévenaz concerning the embedding of the Burnside ring into its ghost ring
• Über die Automorphismengruppe des Burnsideringes endlicher abelscher Gruppen
• A characterisation of solvable groups
• Fonctions de Möbius sur les groupes abeliens finis
• Isomorphic burnside rings

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