A property equivalent to \(n\)-permutability for infinite groups

DOI10.1006/jabr.1999.7996zbMath0944.20025OpenAlexW2001489736MaRDI QIDQ1965259

Aliakbar Mohammadi Hassanabadi, Bijan Taeri, Alireza Abdollahi

Publication date: 28 May 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.7996

zbMATH Keywords

permutation propertiespermutable subsets

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Special aspects of infinite or finite groups (20F99) Commutator calculus (20F12)

Related Items (3)

A permutability problem in infinite groups and Ramsey's theorem ⋮ ANn-REWRITABILITY CRITERION FOR INFINITE GROUPS ⋮ On a permutability problem for groups.

Cites Work

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• A permutational property of groups
• Rewriting products of group elements. I
• Rewriting products of group elements. II
• A property equivalent to permutability for groups
• The classification of groups in which every product of four elements can be reordered
• On the derived length of groups with some permutational property
• Remarks on the Upper Centralc Series of a Group
• Infinite groups in a given variety and ramsey's theorem
• Criteria for Commutativity in Large Groups
• Groups Covered By Permutable Subsets

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