Dehornoy order (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Dehornoy order" in English language version.

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  • Dehornoy, Patrick (1992), "Deux propriétés des groupes de tresses", Comptes Rendus de l'Académie des Sciences, Série I, 315 (6): 633–638, ISSN 0764-4442, MR 1183793
  • Dehornoy, Patrick (1994), "Braid groups and left distributive operations", Transactions of the American Mathematical Society, 345 (1): 115–150, doi:10.2307/2154598, JSTOR 2154598, MR 1214782
  • Dehornoy, Patrick; Dynnikov, Ivan; Rolfsen, Dale; Wiest, Bert (2008), Ordering braids, Mathematical Surveys and Monographs, vol. 148, Providence, R.I.: American Mathematical Society, ISBN 978-0-8218-4431-1, MR 2463428
  • Dehornoy, Patrick (1989), "Sur la structure des gerbes libres", Comptes Rendus de l'Académie des Sciences, Série I, 309 (3): 143–148, MR 1005627
  • Laver, Richard (1992), "The left distributive law and the freeness of an algebra of elementary embeddings", Advances in Mathematics, 91 (2): 209–231, doi:10.1016/0001-8708(92)90016-E, hdl:10338.dmlcz/127389, MR 1149623
  • Dehornoy, Patrick (1996), "Another use of set theory", Bulletin of Symbolic Logic, 2 (4): 379–391, doi:10.2307/421170, JSTOR 421170, MR 1321290
  • Laver, Richard (1996), "Braid group actions on left distributive structures, and well orderings in the braid groups", Journal of Pure and Applied Algebra, 108: 81–98, doi:10.1016/0022-4049(95)00147-6, MR 1382244
  • Burckel, Serge (1997), "The wellordering on positive braids", Journal of Pure and Applied Algebra, 120 (1): 1–17, doi:10.1016/S0022-4049(96)00072-2, MR 1466094
  • Fromentin, Jean (2011), "Every braid admits a short sigma-definite expression", Journal of the European Mathematical Society, 13 (6): 1591–1631, arXiv:0811.3902, doi:10.4171/JEMS/289, MR 2835325
  • Dynnikov, Ivan (2002), "On a Yang-Baxter mapping and the Dehornoy ordering", Russian Mathematical Surveys, 57 (3): 151–152, doi:10.1070/RM2002v057n03ABEH000519, MR 1918864
  • Malyutin, Andrei; Netsvetaev, Nikita Yu. (2003), "Dehornoy order in the braid group and transformations of closed braids", Rossiĭskaya Akademiya Nauk. Algebra i Analiz, 15 (3): 170–187, doi:10.1090/S1061-0022-04-00816-7, MR 2052167
  • Ito, Tetsuya (2011), "Braid ordering and knot genus", Journal of Knot Theory and Its Ramifications, 20 (9): 1311–1323, arXiv:0805.2042, doi:10.1142/S0218216511009169, MR 2844810, S2CID 14609189

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  • Dehornoy, Patrick (1992), "Deux propriétés des groupes de tresses", Comptes Rendus de l'Académie des Sciences, Série I, 315 (6): 633–638, ISSN 0764-4442, MR 1183793