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This article is cited in 27 scientific papers (total in 27 papers)
On braid groups
T. V. Dubrovina, N. I. Dubrovin Vladimir State University
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
Citation:
T. V. Dubrovina, N. I. Dubrovin, “On braid groups”, Mat. Sb., 192:5 (2001), 53–64; Sb. Math., 192:5 (2001), 693–703
Linking options:
https://www.mathnet.ru/eng/sm564https://doi.org/10.1070/SM2001v192n05ABEH000564 https://www.mathnet.ru/eng/sm/v192/i5/p53
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Abstract page: | 507 | Russian version PDF: | 220 | English version PDF: | 15 | References: | 50 | First page: | 1 |
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