The Engel elements in generalized FC-groups.

zbMath1329.20046arXiv1412.6353MaRDI QIDQ491471

Giovanni Vincenzi, Antonio Tortora

Publication date: 25 August 2015

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.6353

zbMATH Keywords

hypercenterFitting subgroupgeneralized FC-groupsbounded left Engel elementsbounded right Engel elementsHirsch-Plotkin radicalinductively defined classes of groupsnilpotent normal subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Derived series, central series, and generalizations for groups (20F14) Commutator calculus (20F12) Engel conditions (20F45) FC-groups and their generalizations (20F24)

Related Items

Finiteness conditions on conjugate classes of subgroups in generalized FC-groups

Cites Work

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• The Engel elements of a soluble group
• Groups generated by a finite Engel set.
• On the theory of generalized FC-groups.
• The upper central series in soluble groups
• On the Wielandt subgroup of generalized FC-groups
• PRONORMALITY IN GENERALIZEDFC-GROUPS
• Some problems of Burnside type