On the influence of fixed point free nilpotent automorphism groups

DOI10.1007/S00605-016-0970-5zbMath1466.20013OpenAlexW2519448928MaRDI QIDQ1682382

İsmail Ş. Güloğlu, Gülin Ercan

Publication date: 30 November 2017

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11376/3202

zbMATH Keywords

fixed pointsnilpotent length\(\pi \)-lengthFrobenius-like group

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Automorphisms of abstract finite groups (20D45) Automorphism groups of groups (20F28) Finite nilpotent groups, (p)-groups (20D15)

Related Items (2)

Nilpotent residual of a finite group ⋮ Frobenius action on Carter subgroups

Cites Work

• Unnamed Item
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• Action of a Frobenius-like group with fixed-point free kernel.
• Centralizers of finite nilpotent subgroups in locally finite groups
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• Action of a Frobenius-like group.
• Rank and order of a finite group admitting a Frobenius-like group of automorphisms.
• Action of a Frobenius-like group with kernel having central derived subgroup
• Frobenius groups as groups of automorphisms
• Frobenius groups of automorphisms and their fixed points
• Fitting Height of a Finite Group with a Metabelian Group of Automorphisms
• A NOTE ON FIXED-POINT-FREE ACTIONS OF FINITE GROUPS
• Frobenius-like groups as groups of automorphisms

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