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Dehornoy's ordering on the braid group and braid moves. / Malyutin, A. V.; Netsvetaev, N. Yu.

In: St. Petersburg Mathematical Journal, Vol. 15, No. 3, 01.01.2004, p. 437-448.

Research output: Contribution to journal › Article › peer-review

Harvard

Malyutin, AV & Netsvetaev, NY 2004, 'Dehornoy's ordering on the braid group and braid moves', St. Petersburg Mathematical Journal, vol. 15, no. 3, pp. 437-448. https://doi.org/10.1090/S1061-0022-04-00816-7

APA

Malyutin, A. V., & Netsvetaev, N. Y. (2004). Dehornoy's ordering on the braid group and braid moves. St. Petersburg Mathematical Journal, 15(3), 437-448. https://doi.org/10.1090/S1061-0022-04-00816-7

Vancouver

Malyutin AV, Netsvetaev NY. Dehornoy's ordering on the braid group and braid moves. St. Petersburg Mathematical Journal. 2004 Jan 1;15(3):437-448. https://doi.org/10.1090/S1061-0022-04-00816-7

Author

Malyutin, A. V. ; Netsvetaev, N. Yu. / Dehornoy's ordering on the braid group and braid moves. In: St. Petersburg Mathematical Journal. 2004 ; Vol. 15, No. 3. pp. 437-448.

BibTeX

@article{f2d5b2ca139245e69c0f44a68a8cfa51,
title = "Dehornoy's ordering on the braid group and braid moves",
abstract = "In terms of Dehornoy's ordering on the braid group Bn, restrictions are found that prevent us from performing the Markov destabilization and the Birman–Menasco braid moves. As a consequence, a sufficient condition is obtained for the link represented by a braid to be prime, and it is shown that all braids in Bn that are not minimal lie in a finite interval of Dehornoy's ordering.",
author = "Malyutin, {A. V.} and Netsvetaev, {N. Yu}",
year = "2004",
month = jan,
day = "1",
doi = "10.1090/S1061-0022-04-00816-7",
language = "русский",
volume = "15",
pages = "437--448",
journal = "St. Petersburg Mathematical Journal",
issn = "1061-0022",
publisher = "American Mathematical Society",
number = "3",

}

RIS

TY - JOUR

T1 - Dehornoy's ordering on the braid group and braid moves

AU - Malyutin, A. V.

AU - Netsvetaev, N. Yu

PY - 2004/1/1

Y1 - 2004/1/1

N2 - In terms of Dehornoy's ordering on the braid group Bn, restrictions are found that prevent us from performing the Markov destabilization and the Birman–Menasco braid moves. As a consequence, a sufficient condition is obtained for the link represented by a braid to be prime, and it is shown that all braids in Bn that are not minimal lie in a finite interval of Dehornoy's ordering.

AB - In terms of Dehornoy's ordering on the braid group Bn, restrictions are found that prevent us from performing the Markov destabilization and the Birman–Menasco braid moves. As a consequence, a sufficient condition is obtained for the link represented by a braid to be prime, and it is shown that all braids in Bn that are not minimal lie in a finite interval of Dehornoy's ordering.

UR - http://www.scopus.com/inward/record.url?scp=85009729318&partnerID=8YFLogxK

U2 - 10.1090/S1061-0022-04-00816-7

DO - 10.1090/S1061-0022-04-00816-7

M3 - статья

AN - SCOPUS:85009729318

VL - 15

SP - 437

EP - 448

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 3

ER -

ID: 47487177