Non-Nilpotent Groups in Which Every Product of Four Elements Can be Reordered

DOI10.4153/CJM-1990-056-4zbMath0727.20027OpenAlexW2327256720MaRDI QIDQ3349087

Mercede Maj, Stewart E. Stonehewer

Publication date: 1990

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

Full work available at URL: https://doi.org/10.4153/cjm-1990-056-4

zbMATH Keywords

metabelianrewritable groupspermutation propertyproperty \(P_ n\)abelian subgroup of index 2product of four elements

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Quasivarieties and varieties of groups (20E10) Commutator calculus (20F12)

Related Items (8)

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 ⋮ Characterization of 3-Rewritable Finite Nilpotent Groups ⋮ 3-Rewritable Nilpotent 2-Groups of Class 2^# ⋮ On 3-Rewritable Groups ⋮ A property equivalent to permutability for groups ⋮ On a permutability problem for groups.

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