On Coleman automorphisms of wreath products of finite nilpotent groups by Abelian groups.

DOI10.1007/s11425-011-4298-2zbMath1234.20029OpenAlexW2121465587MaRDI QIDQ659992

Zheng Xing Li, Jin Ke Hai

Publication date: 24 January 2012

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4298-2

zbMATH Keywords

inner automorphismswreath productsnormalizer problemColeman automorphisms

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 (1)

ON CLASS-PRESERVING COLEMAN AUTOMORPHISMS OF FINITE SEPARABLE GROUPS

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
• On the normalizer property for integral group rings
• 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
• Local analysis of the normalizer problem
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