Coleman automorphisms of finite groups.
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Publication:1433407
DOI10.1007/s002090100318zbMath1047.20020OpenAlexW2008168370MaRDI QIDQ1433407
Martin Hertweck, Wolfgang Kimmerle
Publication date: 17 June 2004
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s002090100318
Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Integral representations of finite groups (20C10) Automorphisms of abstract finite groups (20D45) Automorphisms of infinite groups (20E36) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)
Related Items (29)
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 ⋮ On the normaliser problem for G-adapted group rings of torsion 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 ⋮ Local-global invariants of finite and infinite groups: around Burnside from another side. ⋮ 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 ⋮ Normalizer property of finite groups with almost simple subgroups ⋮ Coleman automorphisms of permutational wreath products II ⋮ The normalizer property for the integral group ring of the wreath product of two symmetric groups Sk and Sn ⋮ Blocks of normal subgroups, automorphisms of groups, and the Alperin-McKay conjecture. ⋮ Coleman automorphisms of finite groups with a self-centralizing normal subgroup ⋮ On Coleman automorphisms of wreath products of finite nilpotent groups by Abelian groups. ⋮ Unnamed Item ⋮ 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 ⋮ 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 ⋮ The Subgroup Normalizer Problem for Integral Group Rings of Some Nilpotent and Metacyclic 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.
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