Exceptional group ring automorphisms for some metabelian groups

DOI10.1080/00927879708826018zbMath0881.20001OpenAlexW2077048433MaRDI QIDQ4351691

Peter Floodstrand Blanchard

Publication date: 17 December 1997

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879708826018

zbMATH Keywords

central extensionsdirect productscyclic groupsZassenhaus conjecturegroup automorphismsextraspecial 2-groupssemilocal integral domainsaugmentation preserving automorphismsmetabelian finite groupsSylow 2 subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Group rings (16S34) Automorphisms and endomorphisms (16W20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (2)

Exceptional group ring automorphisms for some metabelian groups, ii ⋮ Finite groups of matrices over group rings

Cites Work

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• On a conjecture of Zassenhaus on torsion units in integral group rings
• Exceptional group ring automorphisms for some metabelian groups, ii
• Isomorphisms of p-adic group rings

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