The modular group algebra problem for metacyclic 𝑝-groups

DOI10.1090/S0002-9939-96-03518-6zbMath0844.20003OpenAlexW1554094831MaRDI QIDQ4875597

Robert Sandling

Publication date: 1 September 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03518-6

zbMATH Keywords

group algebrasfinite \(p\)-groupsmetacyclic \(p\)-groupsisomorphism problem

Mathematics Subject Classification ID

Group rings (16S34) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite nilpotent groups, (p)-groups (20D15)

Related Items (12)

Non-isomorphic 2-groups with isomorphic modular group algebras ⋮ Unnamed Item ⋮ The modular isomorphism problem: a survey ⋮ On the blockwise modular isomorphism problem ⋮ Abelian invariants and a reduction theorem for the modular isomorphism problem ⋮ The modular isomorphism problem and abelian direct factors ⋮ On group invariants determined by modular group algebras: even versus odd characteristic ⋮ A reduction theorem for the isomorphism problem of group algebras over fields ⋮ The restricted isomorphism problem for metacyclic restricted Lie algebras ⋮ A cohomological approach to the modular isomorphism problem. ⋮ Computing automorphism groups and testing isomorphisms for modular group algebras. ⋮ The modular isomorphism problem for two generated groups of class two

Cites Work

• Unnamed Item
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• Dimension subgroups, nilpotency indices, and the number of generators of ideals in p-group algebras
• The modular group algebra of a central-elementary-by-abelian p-group
• Remarks on the group algebra as symmetric algebra. II.
• The Isomorphism Question for Modular Group Algebras of Metacyclic p-Groups
• Endliche Gruppen I
• Presentations of metacyclic groups

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