Geodesic
On Nilpotent Products of Cyclic Groups—Reexamined by the Commutator Calculus
Canadian journal of mathematics, Tome 27 (1975) no. 6, pp. 1185-1210

Voir la notice de l'article provenant de la source Cambridge University Press

Ruth R. Struik investigated the nilpotent group , where G is a free product of a finite number of cyclic groups, not all of which are of infinite order, and Gm is the mth subgroup of the lower central series of G. Making use of the “collection process” first given by Philip Hall in [8], she determined completely for 1 ≦ n ≦ p + 1, where p is the smallest prime with the property that it divides the order of at least one of the free factors of G. However, she was unable to proceed beyond n = p + 1. 
Waldinger, Hermann V.; Gaglione, Anthony M. On Nilpotent Products of Cyclic Groups—Reexamined by the Commutator Calculus. Canadian journal of mathematics, Tome 27 (1975) no. 6, pp. 1185-1210. doi: 10.4153/CJM-1975-125-9
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