Geodesic
Non-Nilpotent Groups in Which Every Product of Four Elements Can be Reordered
Canadian journal of mathematics, Tome 42 (1990) no. 6, pp. 1053-1066

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Let G be a group and n(≧ 2) an integer. We say that G belongs to the class of groups P n if every product of n elements can be reordered, i.e. for all n-tuples , there exists a non-trivial element σ in the symmetric group Σn such that Let P denote the union of the classes P n , n ≧ 2. Clearly every finite group belongs to P and each class P n is closed with respect to forming subgroups and factor groups.
DOI : 10.4153/CJM-1990-056-4
Mots-clés : 20F34, 20F99 
Maj, M.; Stonehewer, S. E. Non-Nilpotent Groups in Which Every Product of Four Elements Can be Reordered. Canadian journal of mathematics, Tome 42 (1990) no. 6, pp. 1053-1066. doi: 10.4153/CJM-1990-056-4
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