Local analysis of the normalizer problem

DOI10.1016/S0022-4049(00)00167-5zbMath0987.16015WikidataQ127175274 ScholiaQ127175274MaRDI QIDQ5950659

Martin Hertweck

Publication date: 2 January 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

finite groupscentresfinite Abelian groupsintegral group ringsisomorphism problemAbelian Sylow subgroupsgroups of class preserving automorphismsouter automorphismsrings of algebraic integers

Mathematics Subject Classification ID

Group rings (16S34) Automorphisms and endomorphisms (16W20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Integral representations of finite groups (20C10) Automorphism groups of groups (20F28) Representations of groups as automorphism groups of algebraic systems (20F29)

Related Items

Coleman automorphisms of holomorphs of completely reducible and almost simple groups, Coleman automorphisms of finite groups and their minimal normal subgroups, 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, Class-preserving Coleman automorphisms of finite groups whose Sylow 2-subgroups are semidihedral, 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 wreath products of finite nilpotent groups by some 2-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, On hypercentral units in integral group rings, The normalizer property for finite groups whose Sylow 2-subgroups are abelian, The Normalizer Property for Integral Group Rings of Wreath Products of Finite Nilpotent Groups by Cyclic Groups, Coleman Automorphisms of Permutational Wreath Products, Class-Preserving Coleman Automorphisms of Finite Groups with Prescribed Centralizers, Class-preserving Coleman automorphisms of some classes of finite groups

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