The Normalizer Property for Integral Group Rings of Some Finite Nilpotent-by-Nilpotent Groups

DOI10.1080/00927872.2011.583964zbMath1254.16029OpenAlexW2081630078MaRDI QIDQ2904713

Zheng Xing Li, Jin Ke Hai

Publication date: 23 August 2012

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

Full work available at URL: https://doi.org/10.1080/00927872.2011.583964

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 (2)

The normalizer property for the integral group ring of the wreath product of two symmetric groups S_k and S_n ⋮ The normalizer property of integral group rings of semidirect products of finite 2-closed groups by rational groups

Cites Work

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• The Isomorphism Problem for Integral Group Rings of a Complete Monomial Group
• Class preserving automorphisms of Blackburn groups
• A counterexample to the isomorphism problem for integral group rings
• Local analysis of the normalizer problem

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