2010/07/13 by Vladimir V. Yedynak, Yedynak, Vladimir V.
Mathematics · #20E06 #20E26 #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:20E06 #msc:20E26
paper · pdf · doi:10.48550/arxiv.1007.2080
9 pages
arxiv created 2010/11/03 · arxiv updated 2010/11/04
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.