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Table des matières de ce fascicule | Article précédent | Article suivant Dehornoy, Patrick; Lafont, Yves Homology of gaussian groups. Annales de l'institut Fourier, 53 no. 2 (2003), p. 489-540 Texte intégral djvu | pdf | Analyses MR 1990005 | Zbl 1100.20036 Class. Math.: 20J06, 18G35, 20M50, 20F36 URL stable: http://www.numdam.org/item?id=AIF_2003__53_2_489_0 Voir cet article sur le site de l'éditeur Résumé Bibliographie [2] J. Altobelli & R. Charney, A geometric rational form for Artin groups of FC type, Geometriae Dedicata [3] V.I. Arnold, The cohomology ring of the colored braid group, Mat. Zametki [4] V.I. Arnold, Toplogical invariants of algebraic functions II, Funkt. Anal. Appl. [5] D. Bessis, The dual braid monoid, Preprint arXiv [6] M. Bestvina, Non-positively curved aspects of Artin groups of finite type, Geometry \& Topology [7] J. Birman, K.H. Ko & S.J. Lee, A new approach to the word problem in the braid groups, Advances in Math. [8] E. Brieskorn, Sur les groupes de tresses (d'après V.I. Arnold), Numdam | Zbl 0277.55003 [9] E. Brieskorn & K. Saito, Artin-Gruppen und Coxeter-Gruppen, Invent. Math. [10] K.S. Brown, Cohomology of groups, [11] H. Cartan & S. Eilenberg, Homological Algebra, [12] R. Charney, Artin groups of finite type are biautomatic, Math. Ann. [13] R. Charney, Geodesic automation and growth functions for Artin groups of finite type, Math. Ann. [14] R. Charney, J. Meier & K. Whittlesey, Bestvina's normal form complex and the homology of Garside groups, Preprint arXiv | Zbl 1064.20044 [15] A.H. Clifford & G.B. Preston, The algebraic Theory of Semigroups, vol. 1, AMS Surveys [16] F. Cohen, Cohomology of braid spaces, Bull. Amer. Math. Soc. Article | MR 321074 | Zbl 0272.55012 [17] F. Cohen, Artin's braid groups, classical homotopy theory, and sundry other curiosities, Contemp. Math. [18] C. de Concini & M. Salvetti, Cohomology of Artin groups, Math. Research Letters [19] C. de Concini, M. Salvetti & F. Stumbo, The top-cohomology of Artin groups with coefficients in rank 1 local systems over Z, Topology Appl. [20] P. Dehornoy, Deux propriétés des groupes de tresses, C. R. Acad. Sci. Paris [21] P. Dehornoy, Gaussian groups are torsion free, J. of Algebra [22] P. Dehornoy, Braids and self-distributivity, [23] P. Dehornoy, Groupes de Garside, Ann. Sci. École Norm. Sup. Numdam | MR 1914933 | Zbl 1017.20031 [24] P. Dehornoy, Complete group presentations, J. Algebra, to appear. MR 2004483 [25] P. Dehornoy & L. Paris, Gaussian groups and Garside groups, two generalizations of Artin groups, Proc. London Math. Soc. [26] P. Deligne, Les immeubles des groupes de tresses généralisés, Invent. Math. [27] E.A. Elrifai & H.R. Morton, Algorithms for positive braids, Quart. J. Math. Oxford [28] D. Epstein \& al., Word Processing in Groups, [29] D.B. Fuks, Cohomology of the braid group mod. 2, Funct. Anal. Appl. [30] F.A. Garside, The braid group and other groups, Quart. J. Math. Oxford [31] V.V. Goryunov, The cohomology of braid groups of series C and D and certain stratifications, Funkt. Anal. i Prilozhen. [32] Y. Kobayashi, Complete rewriting systems and homology of monoid algebras, J. Pure Appl. Algebra [33] Y. Lafont, A new finiteness condition for monoids presented by complete rewriting systems (after Craig C. Squier), J. Pure Appl. Algebra [34] Y. Lafont & A. Prouté, Church-Rosser property and homology of monoids, Math. Struct. Comput. Sci [35] J.-L. Loday, Higher syzygies, in `Une dégustation topologique: Homotopy theory in the Swiss Alps', Contemp. Math. [36] M. Picantin, Petits groupes gaussiens, Thèse de doctorat, Université de Caen, [37] M. Picantin, The center of thin Gaussian groups, J. Algebra [38] M. Salvetti, Topology of the complement of real hyperplanes in $\mathbf C^N$, Invent. Math. [39] M. Salvetti, The homotopy type of Artin groups, Math. Res. Letters [40] H. Sibert, Extraction of roots in Garside groups, Comm. in Algebra [41] C. Squier, Word problems and a homological finiteness condition for monoids, J. Pure Appl. Algebra [42] C. Squier, The homological algebra of Artin groups, Math. Scand. Article | MR 1308935 | Zbl 0839.20065 [43] C. Squier, A finiteness condition for rewriting systems, revision by F. Otto and Y. Kobayashi, Theoret. Compt. Sci. [44] J. Stallings, The cohomology of pregroups, Conference on Group Theory, Lecture Notes in Math. [45] W. Thurston, Finite state algorithms for the braid group, Circulated notes ( [46] F.V. Vainstein, Cohomologies of braid groups, Functional Anal. Appl. [47] V.V. Vershinin, Braid groups and loop spaces, Uspekhi Mat. Nauk |
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