English

A remark on normal closures in free products of groups

Group Theory 2024-01-09 v1

Abstract

It is shown that a nontrivial normal subgroup NN of a group GG is a free factor of the NN's normal closure in the GG's free product with arbitrary nontrivial groups.

Keywords

Cite

@article{arxiv.2401.03335,
  title  = {A remark on normal closures in free products of groups},
  author = {Dali Zangurashvili},
  journal= {arXiv preprint arXiv:2401.03335},
  year   = {2024}
}