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Capability of nilpotent products of cyclic groups II

Arturo Magidin
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Abstract

In Part I it was shown that if G is a p-group of class k, generated by elements of orders 1 1 and alpha_r <= alpha_{r-1} + [(k-1)/(p-1)]. It was also shown that when G is the k-nilpotent product of the cyclic groups generated by those elements and k=p=2 or k<p, then the given conditions are also sufficient. We make a correction related to the small class case, and extend the sufficiency result to k=p for arbitrary prime p.

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Arturo Magidin. 2006-06-04. Capability of nilpotent products of cyclic groups II. https://arxiv.org/abs/math/0606093

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