On the isomorphism problem for group rings and completed augmentation ideals

DOI10.1216/RMJ-1987-17-4-853zbMath0645.20003OpenAlexW2059257916MaRDI QIDQ1103048

Frank Roehl

Publication date: 1987

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-1987-17-4-853

zbMATH Keywords

finitely generated free grouplower central seriesmetabelian p-groups\({bbfF}_ p\)-strongly characterized by its integral group ringfinite p- groupsintegral isomorphism problemmodular augmentation idealmodular dimension subgroups

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite nilpotent groups, (p)-groups (20D15) Derived series, central series, and generalizations for groups (20F14) Commutator calculus (20F12)

Related Items (2)

The modular isomorphism problem: a survey ⋮ Parametrization of central Frattini extensions and isomorphisms of small group rings.

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