Free products of groups are strongly verbally closed
Group Theory
2020-01-29 v2
Abstract
In a number of recent works, it has been established that many virtually free groups, almost all fundamental groups of surfaces and all groups which are nontrivial free products of groups satisfying a non-trivial law are algebraically closed in any group in which they are verbally closed. In this work we establish that any group which is a non-trivial free product is algebraically closed in any group in which it is verbally closed.
Keywords
Cite
@article{arxiv.1803.10634,
title = {Free products of groups are strongly verbally closed},
author = {Andrey Mazhuga},
journal= {arXiv preprint arXiv:1803.10634},
year = {2020}
}
Comments
34 pages, 2 figures, this version is in Russian