COLEMAN AUTOMORPHISMS OF STANDARD WREATH PRODUCTS OF NILPOTENT GROUPS BY GROUPS WITH PRESCRIBED SYLOW 2-SUBGROUPS

DOI10.1142/S0219498813501569zbMath1303.16038MaRDI QIDQ5420507

Zheng Xing Li, Jin Ke Hai

Publication date: 13 June 2014

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

zbMATH Keywords

finite groupsFrobenius groupsinner automorphismswreath productsSylow subgroupsgroups of automorphismsgroups of unitsintegral group ringsColeman automorphismsnormalizer property

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Automorphisms of abstract finite groups (20D45) Extensions, wreath products, and other compositions of groups (20E22) Units, groups of units (associative rings and algebras) (16U60)

Related Items

The influence of maximal quotient groups on the normalizer conjecture of integral group rings ⋮ Class-Preserving Coleman Automorphisms of Finite Groups with Prescribed Centralizers ⋮ Coleman automorphisms of generalized dihedral groups.

Cites Work

• Unnamed Item
• 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
• Integral group ring automorphisms without Zassenhaus factorization
• The normalizer property for integral group rings of Frobenius groups
• The normalizer of a metabelian group in its integral group ring
• Coleman automorphisms of standard wreath products of finite abelian groups by 2-closed groups
• The Normalizer Property for Integral Group Rings of Wreath Products of Finite Nilpotent Groups by Cyclic Groups
• Automorphisms of Finite Groups
• On the normalizer property for integral group rings
• Automorphisms of finite groups
• The Normalizer Property for Integral Group Rings of Complete Monomial Groups
• Class preserving automorphisms of Blackburn groups
• A counterexample to the isomorphism problem for integral group rings
• Class-preserving automorphisms of finite groups
• Local analysis of the normalizer problem