3-Generator Groups whose Elements Commute with Their Endomorphic Images Are Abelian
Group Theory
2007-09-21 v1 Rings and Algebras
Abstract
A group in which every element commutes with its endomorphic images is called an -group. Our main result is that all 3-generator -groups are abelian. It follows that the minimal number of generators of a finitely generated non-abelian -group is four.
Cite
@article{arxiv.0709.3185,
title = {3-Generator Groups whose Elements Commute with Their Endomorphic Images Are Abelian},
author = {A. Abdollahi and A. Faghihi and A. Mohammadi Hassanabadi},
journal= {arXiv preprint arXiv:0709.3185},
year = {2007}
}