Coleman automorphisms of holomorphs of finite abelian groups.

DOI10.1007/s10114-014-2143-6zbMath1307.16032OpenAlexW1999809727MaRDI QIDQ741235

Zheng Xing Li, Jin Ke Hai

Publication date: 11 September 2014

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

Full work available at URL: https://doi.org/10.1007/s10114-014-2143-6

zbMATH Keywords

finite Abelian groupsintegral group ringsColeman automorphismsnormalizer propertyholomorphs

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

Related Items (2)

Coleman automorphisms of holomorphs of completely reducible and almost simple groups ⋮ The normalizer property for integral group rings of holomorphs of finite nilpotent groups and the symmetric groups

Cites Work

• Group automorphisms inducing the identity map on cohomology
• Automorphisms which centralize a Sylow p-subgroup
• Coleman automorphisms of finite groups.
• Class-preserving Coleman automorphisms of finite groups
• Sylow-centralizing sections of outer automorphism groups of finite groups are nilpotent
• 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
• The normalizer property for integral group rings of finite solvable T-groups
• The normalizer property for integral group rings of wreath products of finite nilpotent groups by some 2-groups
• The Normalizer Property for Integral Group Rings of Wreath Products of Finite Nilpotent Groups by Cyclic Groups
• Automorphisms of Finite Groups
• The Automorphisms of the Holomorph of a Finite Abelian Group
• On the normalizer property for integral group rings
• 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
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Coleman automorphisms of holomorphs of finite abelian groups.