Algebras ofp-Groups of Class 2 Over the Rationals

DOI10.1080/00927871003640483zbMath1234.20002OpenAlexW2038134094MaRDI QIDQ3015086

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Publication date: 8 July 2011

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

Full work available at URL: https://doi.org/10.1080/00927871003640483

zbMATH Keywords

finite \(p\)-groupsisomorphism problemrational group algebrasFrattini central \(p\)-groups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Group rings (16S34) Special subgroups (Frattini, Fitting, etc.) (20D25) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

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• Isomorphic group (and loop) algebras
• Deux groupes finis distincts ayant la même algèbre de groupe sur tout corps
• CENTRAL IDEMPOTENTS IN THE RATIONAL GROUP ALGEBRA OF A FINITE NILPOTENT GROUP
• Isomorphisms of p-adic group rings
• A counterexample to the isomorphism problem for integral group rings

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