Primitivity preserving endomorphisms of free groups
Group Theory
2011-05-03 v1
Abstract
An endomorphism of a free group is called primitivity preserving if it takes every primitive element to another primitive. In this paper we prove that every primitivity preserving endomorphism of a free group of a finite rank n > 2 is an automorphism.
Cite
@article{arxiv.math/0103110,
title = {Primitivity preserving endomorphisms of free groups},
author = {Donghi Lee},
journal= {arXiv preprint arXiv:math/0103110},
year = {2011}
}
Comments
29 pages