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Russian Academy of Sciences. Sbornik. Mathematics, 1993, Volume 76, Issue 1, Pages 123–153
DOI: https://doi.org/10.1070/SM1993v076n01ABEH003404 (Mi sm1044) 		 
This article is cited in 11 scientific papers (total in 11 papers)

On the theory of braid groups

V. G. Bardakov
English version PDF (1641 kB) Citations (11) Russian version article
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DOI: https://doi.org/10.1070/SM1993v076n01ABEH003404
Abstract: It is proved that in the braid group $B_n$ for $n\geqslant3$ any proper verbal subgroup $V(B_n)$ defined by a finite set of words $V$ has infinite width relative to $V$. In addition, it is proved that in a colored braid group the taking of roots is unique and that the only element conjugate to its inverse is the identity.
Received: 05.04.1991 and 25.12.1991
Bibliographic databases:
UDC: 512.5
MSC: Primary 20F36; Secondary 20F05, 20F10
Language: English
Original paper language: Russian
Citation: V. G. Bardakov, “On the theory of braid groups”, Russian Acad. Sci. Sb. Math., 76:1 (1993), 123–153
Citation in format AMSBIB
\Bibitem{Bar92}
\by V.~G.~Bardakov
\paper On the theory of braid groups
\jour Russian Acad. Sci. Sb. Math.
\yr 1993
\vol 76
\issue 1
\pages 123--153
\mathnet{http://mi.mathnet.ru//eng/sm1044}
\crossref{https://doi.org/10.1070/SM1993v076n01ABEH003404}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1186776}
\zmath{https://zbmath.org/?q=an:0798.20029}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1993SbMat..76..123B}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993MD58900007}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:537
    Russian version PDF:177
    English version PDF:18
    References:81
    First page:1
     
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