On Coleman automorphisms of finite nilpotent groups by cyclic groups

DOI10.1007/s10114-016-4224-1zbMath1365.20016OpenAlexW2547392721MaRDI QIDQ2396732

Sheng Bo Ge, Jin Ke Hai

Publication date: 24 May 2017

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-016-4224-1

zbMATH Keywords

nilpotent groupColeman automorphismthe normalizer property

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Group rings (16S34) Special subgroups (Frattini, Fitting, etc.) (20D25) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Automorphisms of abstract finite groups (20D45)

Related Items (1)

Coleman automorphisms of finite groups and their minimal normal subgroups

Cites Work

• Group automorphisms inducing the identity map on cohomology
• 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
• The normalizer property for integral group rings of Frobenius groups
• The normalizer of a metabelian group in its integral group ring
• On the isomorphism problem for infinite group rings
• Automorphisms of Finite Groups
• Class-preserving automorphisms and the normalizer property for Blackburn groups
• Automorphisms of finite groups
• The Normalizer Property for Integral Group Rings of Complete Monomial Groups
• 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
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