FINITE GROUPS WITH ENGEL SINKS OF BOUNDED RANK

DOI10.1017/S0017089517000404zbMath1480.20089arXiv1707.04187OpenAlexW2963552578MaRDI QIDQ3177353

P. V. Shumyatskij, Eugenii I. Khukhro

Publication date: 24 July 2018

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.04187

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Finite nilpotent groups, (p)-groups (20D15) Simple groups: alternating groups and groups of Lie type (20D06) Engel conditions (20F45)

Related Items (8)

On profinite groups with automorphisms whose fixed points have countable Engel sinks ⋮ Finite groups with a soluble group of coprime automorphisms whose fixed points have bounded Engel sinks ⋮ Nilpotent residual of a finite group ⋮ Engel sinks of fixed points in finite groups ⋮ Compact groups in which all elements have countable right Engel sinks ⋮ Exponent of a finite group of odd order with an involutory automorphism ⋮ On groups in which Engel sinks are cyclic ⋮ On finite groups with an automorphism of prime order whose fixed points have bounded Engel sinks

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