On the Isomorphism of Some One-Relator Groups

Details On the Isomorphism of Some One-Relator Groups On the Isomorphism of Some One-Relator Groups

2005-02-08

arxiv.org/abs/math/0502153v1

Mathematics

Group Theory

9 pages

Scientific paper

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".

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