The normalizer property for integral group rings of holomorphs of finite nilpotent groups and the symmetric groups

DOI10.1142/S0219498817500256zbMath1388.20008MaRDI QIDQ2965708

Weiping He, Sheng Bo Ge, Jin Ke Hai

Publication date: 3 March 2017

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

semidirect productColeman automorphismsnormalizer property

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Integral representations of finite groups (20C10) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15) Symmetric groups (20B30)

Related Items (3)

Coleman automorphisms of finite groups and their minimal normal subgroups ⋮ Coleman automorphisms of finite groups with a self-centralizing normal subgroup ⋮ The normalizer property for integral group rings of holomorphs of finite groups with trivial center

Cites Work

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• On the Modular Group Ring of a p-Group
• A counterexample to the isomorphism problem for integral group rings
• Class-preserving automorphisms of finite groups
• Local analysis of the normalizer problem

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