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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 2, Pages 463–472 (Mi smj869)  
This article is cited in 10 scientific papers (total in 10 papers)

The equation $x^2y^2=g$ in partially commutative groups

S. L. Shestakov

Vologda State Pedagogical University
Full-text PDF (200 kB) Citations (10)
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Abstract: A partially commutative group is a group defined by generators and relations so that all defining relations are of the form: the commutator of two generators is equal to the identity element. We consider an algorithm for checking whether a given group element is a product of two squares. This generalizes a result of Wicks for free groups.
Keywords: partially commutative groups, equations in groups.
Received: 13.04.2005
English version:
Siberian Mathematical Journal, 2006, Volume 47, Issue 2, Pages 383–390
DOI: https://doi.org/10.1007/s11202-006-0050-5
Bibliographic databases:
UDC: 512.543.72
Language: Russian
Citation: S. L. Shestakov, “The equation $x^2y^2=g$ in partially commutative groups”, Sibirsk. Mat. Zh., 47:2 (2006), 463–472; Siberian Math. J., 47:2 (2006), 383–390
Citation in format AMSBIB
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    • This publication is cited in the following 10 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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