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Sbornik: Mathematics, 2001, Volume 192, Issue 5, Pages 693–703
DOI: https://doi.org/10.1070/SM2001v192n05ABEH000564 (Mi sm564) 		 
This article is cited in 27 scientific papers (total in 27 papers)

On braid groups

T. V. Dubrovina, N. I. Dubrovin

Vladimir State University
English version PDF (161 kB) Citations (27) Russian version article
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DOI: https://doi.org/10.1070/SM2001v192n05ABEH000564
Abstract: Artin's braid groups are studied from the viewpoint of right-ordered groups. A right order is constructed such that the cone of elements $\geqslant 1$ is finitely generated as a monoid. The structure of ideals of this cone is determined, and it turns out to be quite specific and impossible for linearly ordered groups. It is also proved that no linear order on the pure braid subgroup can be extended to a right order on the whole of the braid group.
Received: 24.01.2000
Bibliographic databases:
UDC: 512.8
MSC: Primary 20F36; Secondary 06F15, 20F60
Language: English
Original paper language: Russian
Citation: T. V. Dubrovina, N. I. Dubrovin, “On braid groups”, Sb. Math., 192:5 (2001), 693–703
Citation in format AMSBIB
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\paper On braid groups
\jour Sb. Math.
\yr 2001
\vol 192
\issue 5
\pages 693--703
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    • This publication is cited in the following 27 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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