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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 2, Pages 466–477 (Mi smj980)  
This article is cited in 11 scientific papers (total in 11 papers)

The equation $[x,y]=g$ in partially commutative groups

S. L. Shestakov

Vologda State Pedagogical University
Full-text PDF (220 kB) Citations (11)
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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 commutators of some pairs of generators equal the identity element. We consider an algorithm for checking whether a given element of the group is a commutator, generalizing Wicks's theorem for free groups.
Keywords: equations in groups, partially commutative groups.
Received: 01.09.2004
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 2, Pages 364–372
DOI: https://doi.org/10.1007/s11202-005-0038-6
Bibliographic databases:
UDC: 512.543.72
Language: Russian
Citation: S. L. Shestakov, “The equation $[x,y]=g$ in partially commutative groups”, Sibirsk. Mat. Zh., 46:2 (2005), 466–477; Siberian Math. J., 46:2 (2005), 364–372
Citation in format AMSBIB
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\by S.~L.~Shestakov
\paper The equation $[x,y]=g$ in partially commutative groups
\jour Sibirsk. Mat. Zh.
\yr 2005
\vol 46
\issue 2
\pages 466--477
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2141291}
\zmath{https://zbmath.org/?q=an:1103.20028}
\transl
\jour Siberian Math. J.
\yr 2005
\vol 46
\issue 2
\pages 364--372
\crossref{https://doi.org/10.1007/s11202-005-0038-6}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000228419900019}
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    • This publication is cited in the following 11 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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