L'ordre de Dehornoy sur les tresses
Séminaire Bourbaki : volume 1999/2000, exposés 865-879, Astérisque, no. 276 (2002), Exposé no. 865, 22 p. 
@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},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {276},
     year = {2002},
     mrnumber = {1886754},
     zbl = {1060.20033},
     language = {fr},
     url = {http://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  - http://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 http://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. http://www.numdam.org/item/SB_1999-2000__42__7_0/

[Ad] S. I. Adyan - Fragments of the word Δ in a braid group, Mat. Zametki 36 (1984), 25-34 (= Math. Notes 36 (1984), 505-510). | Zbl

[A26] E. Artin - Theorie der Zöpfe, Abh. Math. Sem. Univ. Hamburg 4 (1926), 47-72. | JFM

[A47] E. Artin - Theory of braids, Ann. of Math. 48 (1947), 101-126. | MR | Zbl

[Bo] N. Bourbaki - Algèbre, chapitres 1 à 3, Hermann, Paris, 1970. | MR | Zbl

[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] E. Brieskorn - Automorphic sets and braids and singularities, publié dans [B+], 45-115. | MR | Zbl

[Bu] S. Burckel - The wellordering on positive braids, J. Pure Appl. Algebra 120 (1997),1-17. | MR | Zbl

[BZ] G. Burde, H. Zieschang - Knots, Studies in Math. 5, Walter de Gruyter, Berlin-New York, 1985. | MR | Zbl

[CFP] J. W. Cannon, W. J. Floyd, W. R. Parry - Introductory notes on Richard Thompson's groups, Enseign. Math. (2) 42 (1996), 215-256. | MR | Zbl

[Ca] P. Cartier - 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 | MR | Zbl

[D89] P. Dehornoy - 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 | MR | Zbl

[D92a] P. Dehornoy - Preuve de la conjecture d'irréflexivité pour les structures distributives libres, C. R. Acad. Sci. Paris Sér. I Math. 314 (1992), 333-336. | MR | Zbl

[D92b] P. Dehornoy - Deux propriétés des groupes de tresses, C. R. Acad. Sci. Paris Sér. I Math. 315 (1992), 633-638. | MR | Zbl

[D94] P. Dehornoy - Braid groups and left distributive operations, Trans. Amer. Math. Soc. 345 (1994), 115-150. | MR | Zbl

[D95] P. Dehornoy - From large cardinals to braids via distributive algebra, J. Knot Theory Ramifications 4 (1995), 33-79. | MR | Zbl

[D96] P. Dehornoy - Une autre application de la théorie des ensembles, Gaz. Math. 69 (1996), 3-20. | MR | Zbl

[D97a] P. Dehornoy - Groups with a complemented presentation, J. Pure Appl. Algebra 116 (1997), 115-137. | MR | Zbl

[D97b] P. Dehornoy - A fast method for comparing braids, Adv. Math. 125 (1997), 200-235. | MR | Zbl

[D98] P. Dehornoy - Gaussian groups are torsion free, J. of Algebra 210 (1998), 291-297. | MR | Zbl

[DOO] P. Dehornoy - Braids and self-distributivity, Progress in Math. 192, Birkhäuser, Basel, Boston, Berlin, 2000. | MR | Zbl

[DP] P. Dehornoy, L. P. Paris - Gaussian groups and Garside groups, two generalizations of Artin groups, Proc. London Math. Soc. 79 (1999), 569-604. | MR | Zbl

[Do] R. Dougherty - Critical points in an algebra of elementary embeddings, Ann. Pure Appl. Logic 65 (1993), 211-241. | MR | Zbl

[DJ] R. Dougherty, T. Jech - Finite left-distributive algebras and embedding algebras, Adv. Math. 130 (1997), 201-241. | MR | Zbl

[Dr] A. Drápal - Finite left distributive algebras with one generator, J. Pure Appl. Algebra 121 (1997), 233-251. | MR | Zbl

[EM] E. A. Elrifai, H. R. Morton - Algorithms for positive braids, Quart. J. Math. Oxford Ser. (2) 45 (1994), 479-497. | MR | Zbl

[E+] D. B. A. Epstein, J. W. Cannon, D. F. Holt, S. V. F. Levy, M. S. Paterson, W. P. Thurston - Word processing in groups, Jones and Bartlett Publ., Boston, Mass., 1992. | MR | Zbl

[F+] R. Fenn, M. T. Greene, D. Rolfsen, C. Rourke, B. Wiest - Ordering the braid groups, Pacific J. Math. 191 (1999), 49-74. | MR | Zbl

[FR] R. Fenn, C. Rourke - Racks and links in codimension two, J. Knot Theory Ramifications 1 (1992), 343-406. | MR | Zbl

[Ga] F. A. Garside - The braid group and other groups, Quart. J. Math. Oxford 20 (1969), 235-254. | MR | Zbl

[Joy] D. Joyce - A classifying invariant of knots, the knot quandle, J. Pure Appl. Algebra 23 (1982), 37-65. | MR | Zbl

[Kan] A. Kanamori - The higher infinite. Large cardinals in set theory from their beginnings. Perspectives in Mathematical Logic, Springer-Verlag, Berlin, 1994. | MR | Zbl

[Kau] L. H. Kauffman - Knots and physics, Series on Knots and Everything, vol. 1, World Scientific Publishing Co., Inc., River Edge, NJ, 1991. | MR | Zbl

[KR] D. M. Kim, D. Rolfsen - Ordering groups of pure braids and hyperplane arrangements, prépublication Univ. British Columbia, 1998.

[La] D. M. Larue - On braid words and irreflexivity, Algebra Universalis 31 (1994), 104-112. | MR | Zbl

[L92] R. Laver - The left distributive law and the freeness of an algebra of elementary embeddings, Adv. Math. 91 (1992), 209-231. | MR | Zbl

[L95] R. Laver - On the algebra of elementary embeddings of a rank into itself, Adv. Math. 110 (1995), 334-346. | MR | Zbl

[L96] R. Laver - Braid group actions on left distributive structures, and well orderings in the braid groups, J. Pure Appl. Algebra 108 (1996), 81-98. | MR | Zbl

[Mk] G. S. Makanin - The conjugacy problem in the braid group, Dokl. Akad. Nauk SSSR 182 (1968), 495-496 (= Soviet Math. Dokl. 9 (1968), 1156-1157). | MR | Zbl

[Mt] S. V. Matveev - Distributive groupoids in knot theory, Mat. Sb. (N.S.) 119 (161) (1982), 78-88 (= Math. USSR Sbornik 47 (1984), 73-83). | MR | Zbl

[Mo] L. Mosher - Mapping class groups are automatic, Ann. of Math. (2) 142 (1995), 303-384. | MR | Zbl

[MR] R. Botto Mura, A. H. Rhemtulla - Orderable groups, Lecture Notes in Pure and Applied Mathematics, vol. 27, Marcel Dekker, Inc., New York, Basel, 1977. | MR | Zbl

[Ni] J. Nielsen - Untersuchungen zur Topologie der geschlossenen zweiseitigen Flächen, Acta Math. 50 (1927), 189-358; traduit en anglais par John Stillwell dans Jakob Nielsen, Collected mathematical papers, Birkhäuser, Boston, Basel, Stuttgart, 1986. | JFM | MR

[Pa] D. S. Passman - The algebraic structure of group rings, Pure and Applied Mathematics, Wiley-Interscience, New York, London, Sydney, 1977. | MR | Zbl

[RZ] D. Rolfsen, J. Zhu - Braids, orderings and zero divisors, J. Knot Theory Ramifications 7 (1998), 837-841. | MR | Zbl

[RW] C. Rourke, B. Wiest - Order automatic mapping class groups, pré-publication University of Warwick 1998, à paraître dans Pacific J. Math. | MR | Zbl

[SW] H. Short, B. Wiest - Orderings of mapping class groups after Thurston, prépublication CMI, Université de Provence 1999, math.GT/9907104. | MR

[Th] W. P. Thurston - Courrier électronique à Bertold Wiest, 4 septembre 1998.

[W] B. Wiest - Dehornoy's ordering of the braid groups extends the subword ordering, Pacifie J. Math. 191 (1999), 183-188. | MR | Zbl