Finite 2-groups of class 2 in which every product of four elements can be reordered

zbMath0698.20013MaRDI QIDQ912210

Stewart E. Stonehewer, Patrizia Longobardi

Publication date: 1991

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

zbMATH Keywords

exponentsymmetric groupfinite groups of odd orderpermutation propertyfinite-by-abelian-by-finite groupsordered product of n elementsfinite 2-groups of class 2P(sub 4)- 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) Quasivarieties and varieties of groups (20E10) Commutator calculus (20F12) FC-groups and their generalizations (20F24)

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The classification of groups in which every product of four elements can be reordered ⋮ Characterization of Abelian-by-cyclic \(3\)-rewritable groups. ⋮ On a permutability problem for groups.