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Matematicheskie Zametki, 2006, Volume 79, Issue 1, Pages 34–44
DOI: https://doi.org/10.4213/mzm2672 (Mi mzm2672) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On the Isomorphism of Some Groups with One Defining Relation

A. V. Borshchev, D. I. Moldavanskiia

a Ivanovo State University
Full-text PDF (216 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm2672
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.”
Received: 27.10.2003
Revised: 10.05.2005
English version:
Mathematical Notes, 2006, Volume 79, Issue 1, Pages 31–40
DOI: https://doi.org/10.1007/s11006-006-0003-0
Bibliographic databases:
UDC: 512.543
Language: Russian
Citation: A. V. Borshchev, D. I. Moldavanskii, “On the Isomorphism of Some Groups with One Defining Relation”, Mat. Zametki, 79:1 (2006), 34–44; Math. Notes, 79:1 (2006), 31–40
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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