The isomorphism problem for group algebras: a criterion

DOI10.1515/jgth-2019-0071zbMath1471.20001arXiv1901.09939OpenAlexW2914048043MaRDI QIDQ2182109

Taro Sakurai

Publication date: 21 May 2020

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

Full work available at URL: https://arxiv.org/abs/1901.09939

zbMATH Keywords

abelian \(p\)-groupmodular isomorphism problemclass two and exponent \(p\)class two and exponent fourcounting homomorphismsquasi-regular group

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) Units, groups of units (associative rings and algebras) (16U60)

Related Items

Non-isomorphic 2-groups with isomorphic modular group algebras, The modular isomorphism problem: a survey, 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, On the modular isomorphism problem for groups of class \(3\) and obelisks, Isomorphism problem for almost simple linear groups

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