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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 2, Pages 250–257 (Mi smj2303)  
This article is cited in 4 scientific papers (total in 4 papers)

Economical adjunction of square roots to groups

D. V. Baranov, Ant. A. Klyachko

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow
Full-text PDF (300 kB) Citations (4)
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Abstract: How do we have to extend a group so that in the resulting group all elements of the original group be squares? We give a rather precise answer to this question (the best possible upper bound differs from our estimate by at most a factor of two) and pose several open questions.
Keywords: equations over a group, adjunction of roots, wreath product.
Received: 20.01.2011
English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 2, Pages 201–206
DOI: https://doi.org/10.1134/S0037446612020024
Bibliographic databases:
Document Type: Article
UDC: 512.543.7+512.542
Language: Russian
Citation: D. V. Baranov, Ant. A. Klyachko, “Economical adjunction of square roots to groups”, Sibirsk. Mat. Zh., 53:2 (2012), 250–257; Siberian Math. J., 53:2 (2012), 201–206
Citation in format AMSBIB
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\issue 2
\pages 250--257
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\transl
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84860366301}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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