The normalizer of a metabelian group in its integral group ring

DOI10.1016/S0021-8693(02)00102-3zbMath1017.16023MaRDI QIDQ1858221

Yuan Lin Li

Publication date: 12 February 2003

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

finite groupsnormalizersSylow subgroupsgroups of unitsintegral group ringsColeman automorphismssplit metabelian groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60)

Related Items

Automorphisms of Finite Groups, The normalizer property for integral group rings of finite solvable T-groups, The Normalizer Property for Integral Group Rings of Some Finite Nilpotent-by-Nilpotent Groups, The influence of maximal quotient groups on the normalizer conjecture of integral group rings, On Coleman automorphisms of finite nilpotent groups by cyclic groups, The normalizer property for integral group rings of holomorphs of finite nilpotent groups and the symmetric groups, Coleman automorphisms of permutational wreath products II, The normalizer property for the integral group ring of the wreath product of two symmetric groups S_k and S_n, Coleman automorphisms of finite groups with a self-centralizing normal subgroup, On Coleman automorphisms of wreath products of finite nilpotent groups by Abelian groups., The normalizer property for integral group rings of holomorphs of finite groups with trivial center, The Normalizer Property for Integral Group Rings of a Class of Complete Monomial Groups, ON CLASS-PRESERVING COLEMAN AUTOMORPHISMS OF FINITE SEPARABLE GROUPS, COLEMAN AUTOMORPHISMS OF STANDARD WREATH PRODUCTS OF NILPOTENT GROUPS BY GROUPS WITH PRESCRIBED SYLOW 2-SUBGROUPS, The normalizer property of integral group rings of semidirect products of finite 2-closed groups by rational groups, Some Results on Hypercentral Units in Integral Group Rings, The normalizer property for finite groups whose Sylow 2-subgroups are abelian, Coleman automorphisms of holomorphs of finite abelian groups., Coleman Automorphisms of Permutational Wreath Products, On the normalizer problem for integral group rings of torsion groups, Class-Preserving Coleman Automorphisms of Finite Groups with Prescribed Centralizers, Class-preserving Coleman automorphisms of some classes of finite groups, Coleman automorphisms of generalized dihedral groups.

Cites Work

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