The classification of groups in which every product of four elements can be reordered

zbMath0838.20038MaRDI QIDQ1904086

Patrizia Longobardi, Mercede Maj, Stewart E. Stonehewer

Publication date: 1 February 1996

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1995__93__7_0

zbMATH Keywords

metabelian groupsderived subgrouppermutation property \(P_ 4\)

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) General structure theorems for groups (20E34) Generators, relations, and presentations of groups (20F05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Commutator calculus (20F12) FC-groups and their generalizations (20F24)

Related Items (10)

The classification of groups in which every product of four elements can be reordered ⋮ Characterization of Abelian-by-cyclic \(3\)-rewritable groups. ⋮ Semisimple groups with the rewriting property Q₅ ⋮ Rewritable groups. ⋮ A property equivalent to \(n\)-permutability for infinite groups ⋮ Insoluble groups with the rewriting property \(P_ 8\) ⋮ General bounds for permutability in finite groups ⋮ A property equivalent to permutability for groups ⋮ On a permutability problem for groups. ⋮ Some remarks on \(P_ n\)-sequenceable groups

Cites Work

• A permutational property of groups
• Finite 2-groups of class 2 in which every product of four elements can be reordered
• On groups in which every product of four elements can be reordered
• On the 4-permutational property
• The classification of groups in which every product of four elements can be reordered
• Non-Nilpotent Groups in Which Every Product of Four Elements Can be Reordered
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