Non-isomorphic 2-groups with isomorphic modular group algebras

DOI10.1515/crelle-2021-0074OpenAlexW3217241282MaRDI QIDQ2122000

Leo Margolis, Diego García-Lucas, Ángel Del Río

Publication date: 5 April 2022

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.07231

Mathematics Subject Classification ID

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

Related Items (9)

The modular isomorphism problem: a survey ⋮ Abelian invariants and a reduction theorem for the modular isomorphism problem ⋮ A classification of the finite 2-generator cyclic-by-abelian groups of prime-power order ⋮ The modular isomorphism problem and abelian direct factors ⋮ On group invariants determined by modular group algebras: even versus odd characteristic ⋮ Clifford's theorem for orbit categories ⋮ A reduction theorem for the isomorphism problem of group algebras over fields ⋮ Representations of finite groups. Abstracts from the workshop held April 16--21, 2023 ⋮ Twisted group ring isomorphism problem and infinite cohomology groups

Uses Software

• GAP
• LAGUNA
• SmallGrp

Cites Work

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