3-Rewritable Nilpotent 2-Groups of Class 2#

DOI10.1081/AGB-200061018zbMath1088.20007OpenAlexW2048219279MaRDI QIDQ5462862

A. Mohammadi Hassanabadi, Alireza Abdollahi

Publication date: 27 July 2005

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

Full work available at URL: https://doi.org/10.1081/agb-200061018

zbMATH Keywords

nilpotent groupspermutation propertiesrewritable groupspermutable groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05) Finite nilpotent groups, (p)-groups (20D15) Derived series, central series, and generalizations for groups (20F14) Commutator calculus (20F12)

Related Items (3)

Characterization of Abelian-by-cyclic \(3\)-rewritable groups. ⋮ Characterization of 3-Rewritable Finite Nilpotent Groups ⋮ On 3-Rewritable Groups

Cites Work

• A permutational property of groups
• Rewriting products of group elements. I
• Rewriting products of group elements. II
• Odd order groups with the rewriting property \(Q_3\)
• On the derived length of groups with some permutational property
• Non-Nilpotent Groups in Which Every Product of Four Elements Can be Reordered
• Semisimple groups with the rewriting property Q₅

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