On the Isomorphism of Some One-Relator Groups
Group Theory
2007-05-23 v1
Abstract
A class of one-relator groups such that every group in the class is determined by a triple of integers and is an HNN-extension of some Baumslag -- Solitar group is considered. A criterion for two groups in this class to be isomorphic and criterion for two non-isomorphic groups to be a homomorphic image of each other are obtained. This result leads to a negative answer to the question 3.33 from "Kourovka Notebook".
Cite
@article{arxiv.math/0502153,
title = {On the Isomorphism of Some One-Relator Groups},
author = {A. V. Borschev and D. I. Moldavanskii},
journal= {arXiv preprint arXiv:math/0502153},
year = {2007}
}
Comments
9 pages