Class preserving automorphisms of Blackburn groups

DOI10.1017/S1446788700014051zbMath1102.20023MaRDI QIDQ5480461

Yuan Lin Li, Allen Herman

Publication date: 1 August 2006

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

finite groupsinner automorphismsnormalizerscentersintegral group ringscentral unitsBlackburn groupsconjugacy class preserving 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 (10)

The Normalizer Property for Integral Group Rings of Some Finite Nilpotent-by-Nilpotent Groups ⋮ Class preserving automorphisms of groups ⋮ Local-global invariants of finite and infinite groups: around Burnside from another side. ⋮ The Bogomolov multiplier of rigid finite groups ⋮ Unnamed Item ⋮ On \(\mathrm\text{ Ш}\)-rigidity of groups of order \(p^6\). ⋮ COLEMAN AUTOMORPHISMS OF STANDARD WREATH PRODUCTS OF NILPOTENT GROUPS BY GROUPS WITH PRESCRIBED SYLOW 2-SUBGROUPS ⋮ On hypercentral units in integral group rings ⋮ Class-preserving automorphisms and the normalizer property for Blackburn groups ⋮ On Bogomolov multiplier and \(\Sha\)-rigidity of groups

Cites Work

• Group automorphisms inducing the identity map on cohomology
• Automorphisms of principal blocks stabilizing Sylow subgroups.
• Finite groups in which the non-normal subgroups have nontrivial intersection
• On the normalizer property for integral group rings
• Endliche Gruppen I

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