The modular isomorphism problem: a survey

DOI10.1365/s13291-022-00249-5OpenAlexW4220725248MaRDI QIDQ2165022

Leo Margolis

Publication date: 18 August 2022

Published in: Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.11412

zbMATH Keywords

modular group algebras\(p\)-groupsmodular isomorphism problem

Mathematics Subject Classification ID

Group rings (16S34) Quasi-Frobenius rings (16L60) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite nilpotent groups, (p)-groups (20D15)

Related Items (4)

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 ⋮ On monoids of plus-minus weighted zero-sum sequences: the isomorphism problem and the characterization problem

Uses Software

• GAP
• Mod-p group cohomology
• ModIsom
• LAGUNA
• UnitLib
• SmallGrp
• ModIsomExt

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