On the Isomorphism of Some One-Relator Groups

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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".
9 pages

Keywords

Group Theory, 20F05

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/74118

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0502153
 http://arxiv.org/abs/math/0502153

Collections

arXiv