@incollection{SB_1999-2000__42__7_0,
author = {Kassel, Christian},
title = {L'ordre de {Dehornoy} sur les tresses},
booktitle = {S\'eminaire Bourbaki : volume 1999/2000, expos\'es 865-879},
series = {Ast\'erisque},
note = {talk:865},
pages = {7--28},
year = {2002},
publisher = {Soci\'et\'e math\'ematique de France},
number = {276},
mrnumber = {1886754},
zbl = {1060.20033},
language = {fr},
url = {https://www.numdam.org/item/SB_1999-2000__42__7_0/}
}
TY - CHAP AU - Kassel, Christian TI - L'ordre de Dehornoy sur les tresses BT - Séminaire Bourbaki : volume 1999/2000, exposés 865-879 AU - Collectif T3 - Astérisque N1 - talk:865 PY - 2002 SP - 7 EP - 28 IS - 276 PB - Société mathématique de France UR - https://www.numdam.org/item/SB_1999-2000__42__7_0/ LA - fr ID - SB_1999-2000__42__7_0 ER -
%0 Book Section %A Kassel, Christian %T L'ordre de Dehornoy sur les tresses %B Séminaire Bourbaki : volume 1999/2000, exposés 865-879 %A Collectif %S Astérisque %Z talk:865 %D 2002 %P 7-28 %N 276 %I Société mathématique de France %U https://www.numdam.org/item/SB_1999-2000__42__7_0/ %G fr %F SB_1999-2000__42__7_0
Kassel, Christian. L'ordre de Dehornoy sur les tresses, dans Séminaire Bourbaki : volume 1999/2000, exposés 865-879, Astérisque, no. 276 (2002), Exposé no. 865, 22 p.. https://www.numdam.org/item/SB_1999-2000__42__7_0/
[Ad] - Fragments of the word Δ in a braid group, Mat. Zametki 36 (1984), 25-34 (= Math. Notes 36 (1984), 505-510). | Zbl
[A26] - Theorie der Zöpfe, Abh. Math. Sem. Univ. Hamburg 4 (1926), 47-72. | JFM
[A47] - Theory of braids, Ann. of Math. 48 (1947), 101-126. | Zbl | MR
[Bo] - Algèbre, chapitres 1 à 3, Hermann, Paris, 1970. | Zbl | MR
[B+] Braids, Actes Conf. Santa Cruz (1986) publiés par Joan S. Birman et Anatoly Libgober, Contemp. Math. 78, Amer. Math. Soc., Providence, RI, 1988. | MR
[Br] - Automorphic sets and braids and singularities, publié dans [B+], 45-115. | Zbl | MR
[Bu] - The wellordering on positive braids, J. Pure Appl. Algebra 120 (1997),1-17. | Zbl | MR
[BZ] , - Knots, Studies in Math. 5, Walter de Gruyter, Berlin-New York, 1985. | Zbl | MR
[CFP] , , - Introductory notes on Richard Thompson's groups, Enseign. Math. (2) 42 (1996), 215-256. | Zbl | MR
[Ca] - Développements récents sur les groupes de tresses; applications à la topologie et à l'algèbre, Séminaire Bourbaki, exposé 716 (novembre 1989), Astérisque, vol. 189-190, Soc. Math. France, Paris (1991), 17-67. | Numdam | Zbl | MR
[D89] - La détermination projective (d'après Martin, Steel et Woodin), Séminaire Bourbaki, exposé 710 (juin 1989), Astérisque, vol. 177-178, Soc. Math. France, Paris (1989), 261-276. | Numdam | Zbl | MR
[D92a] - Preuve de la conjecture d'irréflexivité pour les structures distributives libres, C. R. Acad. Sci. Paris Sér. I Math. 314 (1992), 333-336. | Zbl | MR
[D92b] - Deux propriétés des groupes de tresses, C. R. Acad. Sci. Paris Sér. I Math. 315 (1992), 633-638. | Zbl | MR
[D94] - Braid groups and left distributive operations, Trans. Amer. Math. Soc. 345 (1994), 115-150. | Zbl | MR
[D95] - From large cardinals to braids via distributive algebra, J. Knot Theory Ramifications 4 (1995), 33-79. | Zbl | MR
[D96] - Une autre application de la théorie des ensembles, Gaz. Math. 69 (1996), 3-20. | Zbl | MR
[D97a] - Groups with a complemented presentation, J. Pure Appl. Algebra 116 (1997), 115-137. | Zbl | MR
[D97b] - A fast method for comparing braids, Adv. Math. 125 (1997), 200-235. | Zbl | MR
[D98] - Gaussian groups are torsion free, J. of Algebra 210 (1998), 291-297. | Zbl | MR
[DOO] - Braids and self-distributivity, Progress in Math. 192, Birkhäuser, Basel, Boston, Berlin, 2000. | Zbl | MR
[DP] , - Gaussian groups and Garside groups, two generalizations of Artin groups, Proc. London Math. Soc. 79 (1999), 569-604. | Zbl | MR
[Do] - Critical points in an algebra of elementary embeddings, Ann. Pure Appl. Logic 65 (1993), 211-241. | Zbl | MR
[DJ] , - Finite left-distributive algebras and embedding algebras, Adv. Math. 130 (1997), 201-241. | Zbl | MR
[Dr] - Finite left distributive algebras with one generator, J. Pure Appl. Algebra 121 (1997), 233-251. | Zbl | MR
[EM] , - Algorithms for positive braids, Quart. J. Math. Oxford Ser. (2) 45 (1994), 479-497. | Zbl | MR
[E+] , , , , , - Word processing in groups, Jones and Bartlett Publ., Boston, Mass., 1992. | Zbl | MR
[F+] , , , , - Ordering the braid groups, Pacific J. Math. 191 (1999), 49-74. | Zbl | MR
[FR] , - Racks and links in codimension two, J. Knot Theory Ramifications 1 (1992), 343-406. | Zbl | MR
[Ga] - The braid group and other groups, Quart. J. Math. Oxford 20 (1969), 235-254. | Zbl | MR
[Joy] - A classifying invariant of knots, the knot quandle, J. Pure Appl. Algebra 23 (1982), 37-65. | Zbl | MR
[Kan] - The higher infinite. Large cardinals in set theory from their beginnings. Perspectives in Mathematical Logic, Springer-Verlag, Berlin, 1994. | Zbl | MR
[Kau] - Knots and physics, Series on Knots and Everything, vol. 1, World Scientific Publishing Co., Inc., River Edge, NJ, 1991. | Zbl | MR
[KR] , - Ordering groups of pure braids and hyperplane arrangements, prépublication Univ. British Columbia, 1998.
[La] - On braid words and irreflexivity, Algebra Universalis 31 (1994), 104-112. | Zbl | MR
[L92] - The left distributive law and the freeness of an algebra of elementary embeddings, Adv. Math. 91 (1992), 209-231. | Zbl | MR
[L95] - On the algebra of elementary embeddings of a rank into itself, Adv. Math. 110 (1995), 334-346. | Zbl | MR
[L96] - Braid group actions on left distributive structures, and well orderings in the braid groups, J. Pure Appl. Algebra 108 (1996), 81-98. | Zbl | MR
[Mk] - The conjugacy problem in the braid group, Dokl. Akad. Nauk SSSR 182 (1968), 495-496 (= Soviet Math. Dokl. 9 (1968), 1156-1157). | Zbl | MR
[Mt] - Distributive groupoids in knot theory, Mat. Sb. (N.S.) 119 (161) (1982), 78-88 (= Math. USSR Sbornik 47 (1984), 73-83). | Zbl | MR
[Mo] - Mapping class groups are automatic, Ann. of Math. (2) 142 (1995), 303-384. | Zbl | MR
[MR] , - Orderable groups, Lecture Notes in Pure and Applied Mathematics, vol. 27, Marcel Dekker, Inc., New York, Basel, 1977. | Zbl | MR
[Ni] - Untersuchungen zur Topologie der geschlossenen zweiseitigen Flächen, Acta Math. 50 (1927), 189-358; traduit en anglais par John Stillwell dans , Collected mathematical papers, Birkhäuser, Boston, Basel, Stuttgart, 1986. | MR | JFM
[Pa] - The algebraic structure of group rings, Pure and Applied Mathematics, Wiley-Interscience, New York, London, Sydney, 1977. | Zbl | MR
[RZ] , - Braids, orderings and zero divisors, J. Knot Theory Ramifications 7 (1998), 837-841. | Zbl | MR
[RW] , - Order automatic mapping class groups, pré-publication University of Warwick 1998, à paraître dans Pacific J. Math. | Zbl | MR
[SW] , - Orderings of mapping class groups after Thurston, prépublication CMI, Université de Provence 1999, math.GT/9907104. | MR
[Th] - Courrier électronique à Bertold Wiest, 4 septembre 1998.
[W] - Dehornoy's ordering of the braid groups extends the subword ordering, Pacifie J. Math. 191 (1999), 183-188. | Zbl | MR







