Groups with Anticentral Elements

DOI10.1080/00927870802108106zbMath1182.20018OpenAlexW2171648171MaRDI QIDQ3525189

Frieder Ladisch

Publication date: 11 September 2008

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

Full work available at URL: https://doi.org/10.1080/00927870802108106

zbMATH Keywords

Carter subgroupsfinite groupssolvabilitycentralizersnilpotent supplementsanticentral elementsselfnormalising subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30) Products of subgroups of abstract finite groups (20D40)

Related Items (5)

Finite groups with a splitting automorphism of odd order. ⋮ Anticentral and antisemicentral elements of infinite soluble groups ⋮ Infinite Groups with an Anticentral Element ⋮ Squaring a conjugacy class and cosets of normal subgroups ⋮ A NOTE ON DERIVATIONS OF LIE ALGEBRAS

Uses Software

• GAP
• ATLAS Group Representations

Cites Work

• Unnamed Item
• Finite groups admitting a fixed-point-free automorphism group
• Endliche Gruppen I

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