Groups satisfying an Engel condition.

DOI10.1016/j.jalgebra.2004.08.034zbMath1116.20030OpenAlexW2055317837MaRDI QIDQ1763733

Alireza Abdollahi

Publication date: 22 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.08.034

zbMATH Keywords

finite groupsEngel conditionshypercentersFitting subgroupcombinatorial conditions on subsetsfinitely generated soluble groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generalizations of solvable and nilpotent groups (20F19) Engel conditions (20F45)

Related Items (4)

Finite groups with a nilpotency condition ⋮ Finite groups with a subnormality condition ⋮ Engel graph associated with a group. ⋮ Ensuring a Group is Weakly Nilpotent

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some applications of the first cohomology group
• Insoluble groups with the rewriting property \(P_ 8\)
• Groups as Unions of Proper Subgroups
• Endliche Gruppen I
• Finiteness Conditions for Soluble Groups
• Finitely generated soluble groups with an Engel condition on infinite subsets

This page was built for publication: Groups satisfying an Engel condition.