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arXiv · 1007.2080

Generalization of order separability for free products and omnipotence of free products of groups

Vladimir V. Yedynak
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Abstract

It was proved that for any finite set of elements of a free product of residually finite groups such that no two of them belong to conjugate cyclic subgroups and each of them do not belong to a subgroup which is conjugate a to free factor there exists a homomorphism of the free product onto a finite group such that the order of the image of each fixed element is an arbitrary multiple of a constant number.

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Vladimir V. Yedynak. 2010-07-13. Generalization of order separability for free products and omnipotence of free products of groups. https://arxiv.org/abs/1007.2080

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