Coleman automorphisms of finite groups and their minimal normal subgroups

DOI10.1016/J.JPAA.2017.12.013zbMath1486.20028arXiv1704.06068OpenAlexW2607744443MaRDI QIDQ1635312

Arne van Antwerpen

Publication date: 6 June 2018

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.06068

zbMATH Keywords

finite groupsfinite simple groupswreath productinner automorphismColeman automorphismsholomorphextensions of finite nilpotent group

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Automorphisms of abstract finite groups (20D45)

Related Items (6)

The modular isomorphism problem: a survey ⋮ Normalizer property of finite groups with almost simple subgroups ⋮ Coleman automorphisms of finite groups with a self-centralizing normal subgroup ⋮ Unnamed Item ⋮ The normalizer property for finite groups whose Sylow 2-subgroups are abelian ⋮ Class-preserving Coleman automorphisms of some classes of finite groups

Cites Work

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• Coleman automorphisms of generalized dihedral groups.
• Group automorphisms inducing the identity map on cohomology
• Automorphisms which centralize a Sylow p-subgroup
• The normalizer of a group in the unit group of its group ring
• Coleman automorphisms of finite groups.
• Class-preserving Coleman automorphisms of finite groups
• On the isomorphism problem for infinite group rings
• On Coleman automorphisms of finite nilpotent groups by cyclic groups
• Finite groups in which the non-normal subgroups have nontrivial intersection
• Locally trivial outer automorphisms of finite groups
• Correction to Locally trivial outer automorphisms of finite groups
• The normalizer property for integral group rings of holomorphs of finite nilpotent groups and the symmetric groups
• The normalizer property for the integral group ring of the wreath product of two symmetric groups S_k and S_n
• The Normalizer Property for Integral Group Rings of Wreath Products of Finite Nilpotent Groups by Cyclic Groups
• Class-preserving automorphisms and the normalizer property for Blackburn groups
• On the Modular Group Ring of a p-Group
• Endliche Gruppen I
• 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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