On the isomorphism problem for infinite group rings

zbMath0841.20011MaRDI QIDQ1908011

Marcin Mazur

Publication date: 11 April 1996

Published in: Expositiones Mathematicae (Search for Journal in Brave)

zbMATH Keywords

finite groupsinner automorphismsintegral domainspolycyclic groupsintegral group ringsisomorphism problemsemi-direct productsring of algebraic integers

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Automorphisms and endomorphisms (16W20) Automorphisms of infinite groups (20E36) Units, groups of units (associative rings and algebras) (16U60) Integral representations of infinite groups (20C12)

Related Items (16)

Unnamed Item ⋮ Coleman automorphisms of finite groups and their minimal normal subgroups ⋮ On Coleman automorphisms of finite nilpotent groups by cyclic groups ⋮ Units in orders and integral semigroup rings. ⋮ The normalizer property for integral group rings of holomorphs of finite nilpotent groups and the symmetric groups ⋮ Isomorphisms of integral group rings of infinite groups ⋮ On Coleman automorphisms of wreath products of finite nilpotent groups by Abelian groups. ⋮ Local analysis of the normalizer problem ⋮ On the normalizer problem. ⋮ 𝑛-inner automorphisms of finite groups ⋮ Coleman automorphisms of holomorphs of finite abelian groups. ⋮ The normalizer of a group in the unit group of its group ring ⋮ The normalizer property for integral group rings of Frobenius groups ⋮ The normalizer of a metabelian group in its integral group ring ⋮ On the normalizer problem for integral group rings of torsion groups ⋮ Class-preserving Coleman automorphisms of some classes of finite groups

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