The normalizer property for integral group rings of wreath products of finite nilpotent groups by some 2-groups

DOI10.1515/JGT.2010.049zbMath1225.16021MaRDI QIDQ3007963

Zheng Xing Li, Jin Ke Hai

Publication date: 17 June 2011

Published in: Journal of Group Theory (Search for Journal in Brave)

zbMATH Keywords

finite groupswreath productssemidirect productsnilpotent groupsgroups of unitsintegral group ringscentral unitsnormalizer property

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) Units, groups of units (associative rings and algebras) (16U60)

Related Items (3)

The normalizer property for integral group rings of finite solvable T-groups ⋮ Coleman automorphisms of holomorphs of finite abelian groups. ⋮ Coleman Automorphisms of Permutational Wreath Products

Cites Work

• Group automorphisms inducing the identity map on cohomology
• The normalizer of a group in the unit group of its group ring
• Class-preserving Coleman automorphisms of finite groups
• The normalizer property for integral group rings of Frobenius groups
• On the structure of standard wreath products of groups
• On the normalizer property for integral group rings
• Automorphisms of finite groups
• The Normalizer Property for Integral Group Rings of Complete Monomial Groups
• A counterexample to the isomorphism problem for integral group rings
• Local analysis of the normalizer problem

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