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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2006 Volume 79, Issue 1, Pages 34–44 (Mi mzm2672)

This article is cited in 4 papers

On the Isomorphism of Some Groups with One Defining Relation

A. V. Borshchev, D. I. Moldavanskiia

a Ivanovo State University

Abstract: Each of the groups in the class under consideration in the paper is presented by one defining relation depending on three integral parameters and is an HNN-extension of some Baumslag–Solitar group. Necessary and sufficient conditions for two groups of this class to be isomorphic and also for two nonisomorphic groups to be homomorphic images of each other are obtained. A consequence of this fact is the negative answer to Question 3.33 in “The Kourovka Notebook.”

UDC: 512.543

Received: 27.10.2003
Revised: 10.05.2005

DOI: 10.4213/mzm2672


 English version:
Mathematical Notes, 2006, 79:1, 31–40

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