A Magnus theorem for some amalgamated products
Group Theory
2017-01-18 v1
Abstract
A group possesses the Magnus property if for every two elements with the same normal closure, is conjugate in to or . We prove the Magnus property for some amalgamated products including the fundamental group of a closed non-orientable surface of genus 3. This answers a question of O. Bogopolski and K. Sviridov, who obtained the analogous result for genus .
Cite
@article{arxiv.1701.04441,
title = {A Magnus theorem for some amalgamated products},
author = {Carsten Feldkamp},
journal= {arXiv preprint arXiv:1701.04441},
year = {2017}
}