On finite groups with automorphisms whose fixed points are Engel.

DOI10.1007/S00013-015-0866-YzbMath1342.20025arXiv1602.01661OpenAlexW2962726548MaRDI QIDQ258042

Danilo Sanção da Silveira, P. V. Shumyatskij

Publication date: 17 March 2016

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.01661

zbMATH Keywords

finite groupsautomorphismscentralizersEngel elementscoprime automorphism groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Automorphisms of abstract finite groups (20D45) Engel conditions (20F45) Associated Lie structures for groups (20F40)

Related Items (12)

On groups covered by locally nilpotent subgroups ⋮ Bounding the order of a verbal subgroup in a residually finite group ⋮ Profinite groups and centralizers of coprime automorphisms whose elements are Engel ⋮ On groups with automorphisms whose fixed points are Engel ⋮ On finiteness of some verbal subgroups in profinite groups ⋮ Bounded Engel elements in residually finite groups ⋮ Words of Engel type are concise in residually finite groups. II. ⋮ Engel-like conditions in fixed points of automorphisms of profinite groups ⋮ Profinite groups with an automorphism whose fixed points are right Engel ⋮ Bounded Engel elements in residually finite groups satisfying an identity ⋮ Words of Engel type are concise in residually finite groups ⋮ On finite groups in which commutators are covered by Engel subgroups

Cites Work

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