Braid groups are linear, Journal of the American Mathematical Society, vol.14, issue.02, pp.471-486, 2001. ,
DOI : 10.1090/S0894-0347-00-00361-1
Braids, Links, and Mapping Class Groups, Annals of Math. Studies, vol.82, 1975. ,
DOI : 10.1515/9781400881420
SOME RESULTS ON INTRINSICALLY KNOTTED GRAPHS, Journal of Knot Theory and Its Ramifications, vol.26, issue.06, pp.749-760, 2007. ,
DOI : 10.3836/tjm/1270133985
Automorphic sets and braids and singularities, Contemporary Maths AMS, vol.78, pp.45-117, 1988. ,
DOI : 10.1090/conm/078/975077
The algebra of strand splitting. I. A braided version of Thompson's group V, Journal of Group Theory, vol.43, issue.6, pp.757-788, 2007. ,
DOI : 10.2307/1968867
THE ALGEBRA OF STRAND SPLITTING II: A PRESENTATION FOR THE BRAID GROUP ON ONE STRAND, International Journal of Algebra and Computation, vol.17, issue.01, pp.203-219, 2006. ,
DOI : 10.1016/S0049-237X(08)71348-X
The wellordering on positive braids, Journal of Pure and Applied Algebra, vol.120, issue.1, pp.1-17, 1997. ,
DOI : 10.1016/S0022-4049(96)00072-2
Introductory notes on Richard Thompson's groups, Ens. Math, vol.42, pp.215-257, 1996. ,
A SURVEY OF QUANDLE IDEAS, Series on Knots and Everything, pp.22-53, 2012. ,
DOI : 10.1142/9789814313001_0002
GEOMETRIC INTERPRETATIONS OF QUANDLE HOMOLOGY, Journal of Knot Theory and Its Ramifications, vol.46, issue.4, pp.345-386, 2001. ,
DOI : 10.4064/-42-1-347-380
Quandle cohomology and statesum invariants of knotted curves and surfaces, Transactions of the American Mathematical Society, vol.355, issue.10, pp.3947-3989, 2003. ,
DOI : 10.1090/S0002-9947-03-03046-0
Factor groups of the braid group, Proc. 4th Canad, pp.95-122, 1959. ,
Braid groups and left distributive operations, Transactions of the American Mathematical Society, vol.345, issue.1, pp.115-151, 1994. ,
DOI : 10.1090/S0002-9947-1994-1214782-4
URL : http://www.ams.org/tran/1994-345-01/S0002-9947-1994-1214782-4/S0002-9947-1994-1214782-4.pdf
A NORMAL FORM FOR THE FREE LEFT DISTRIBUTIVE LAW, International Journal of Algebra and Computation, vol.04, issue.04, pp.499-528, 1994. ,
DOI : 10.1142/S0218196794000130
Weak faithfulness properties for the Burau representation, Topology and its Applic, pp.121-143, 1996. ,
CONSTRUCTION OF SELF-DISTRIBUTIVE OPERATIONS AND CHARGED BRAIDS, International Journal of Algebra and Computation, vol.10, issue.01, pp.173-190, 2000. ,
DOI : 10.1006/aima.1995.1014
A Fast Method for Comparing Braids, Advances in Mathematics, vol.125, issue.2, pp.200-235, 1997. ,
DOI : 10.1006/aima.1997.1605
URL : https://doi.org/10.1006/aima.1997.1605
STRANGE QUESTIONS ABOUT BRAIDS, Journal of Knot Theory and Its Ramifications, vol.42, issue.05, pp.589-620, 1999. ,
DOI : 10.1007/BF01188182
Geometric presentations for Thompson's groups, Journal of Pure and Applied Algebra, vol.203, issue.1-3, pp.1-44, 2005. ,
DOI : 10.1016/j.jpaa.2005.02.012
URL : https://doi.org/10.1016/j.jpaa.2005.02.012
The group of parenthesized braids, Advances in Mathematics, vol.205, issue.2, pp.354-409, 2006. ,
DOI : 10.1016/j.aim.2005.07.012
URL : https://hal.archives-ouvertes.fr/hal-00002171
FREE AUGMENTED LD-SYSTEMS, Journal of Algebra and Its Applications, vol.154, issue.01, pp.173-187, 2007. ,
DOI : 10.1016/0001-8708(92)90016-E
URL : https://hal.archives-ouvertes.fr/hal-00005890
Using shifted conjugacy in braid-based cryptography, Contemp. Math, vol.418, pp.65-73, 2006. ,
DOI : 10.1090/conm/418/07946
URL : https://hal.archives-ouvertes.fr/hal-00095575
THE SUBWORD REVERSING METHOD, International Journal of Algebra and Computation, vol.75, issue.01n02, pp.71-118, 2011. ,
DOI : 10.1090/S0002-9947-1993-1137259-2
URL : https://hal.archives-ouvertes.fr/hal-00442274
La thorie des ensembles, Calvage & Mounet, 2017. ,
Some aspects of the SD-world, Proc. 4th Milehigh conference Contemp. Math., submitted, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01649701
Using groups for investigating rewrite systems, Mathematical Structures in Computer Science, vol.71, issue.06, pp.1133-1167, 2008. ,
DOI : 10.1007/3-540-45610-4_3
URL : https://hal.archives-ouvertes.fr/hal-00095690
Critical points in an algebra of elementary embeddings, Annals of Pure and Applied Logic, vol.65, issue.3, pp.211-241, 1993. ,
DOI : 10.1016/0168-0072(93)90012-3
Finite Left-Distributive Algebras and Embedding Algebras, Advances in Mathematics, vol.130, issue.2, pp.201-241, 1997. ,
DOI : 10.1006/aima.1997.1655
URL : https://doi.org/10.1006/aima.1997.1655
THE WELL-ORDERING OF DUAL BRAID MONOID, Journal of Knot Theory and Its Ramifications, vol.46, issue.05, pp.631-654, 2010. ,
DOI : 10.1007/978-3-662-02308-2
Every braid admits a short sigma-definite expression, Journal of the European Mathematical Society, vol.13, pp.1591-1631, 2011. ,
DOI : 10.4171/JEMS/289
A simple algorithm for finding short sigma-definite representatives, Journal of Algebra, vol.350, issue.1, pp.405-415, 2012. ,
DOI : 10.1016/j.jalgebra.2011.09.039
URL : https://hal.archives-ouvertes.fr/hal-00553245
Large Ordinals, Advances in Mathematics, vol.125, issue.2, pp.155-170, 1997. ,
DOI : 10.1006/aima.1997.1603
URL : https://doi.org/10.1006/aima.1997.1603
A classifying invariant of knots, the knot quandle, Journal of Pure and Applied Algebra, vol.23, issue.1, pp.37-65, 1982. ,
DOI : 10.1016/0022-4049(82)90077-9
Note on the shifted conjugacy problem in braid groups, Groups-Complexity-Cryptology, pp.227-230, 2009. ,
Knot invariants derived from quandles and racks Invariants of knots and 3-manifolds, Geometry & Topology Monographs, vol.4, pp.103-117, 2001. ,
Braid groups are linear, Ann. Math, vol.151, pp.131-156, 2002. ,
DOI : 10.2307/3062152
On braid words and irreflexivity, Algebra Univ, pp.31-104, 1994. ,
DOI : 10.1007/bf01188182
URL : http://arxiv.org/pdf/math/9204208v1.pdf
Left-distributive and left-distributive idempotent algebras, 1994. ,
DOI : 10.1080/00927879908826547
The left distributive law and the freeness of an algebra of elementary embeddings, Advances in Mathematics, vol.91, issue.2, pp.209-231, 1992. ,
DOI : 10.1016/0001-8708(92)90016-E
A division algorithm for the free left distributive algebra, Oikkonen & al. eds, Logic Colloquium '90, Lect. Notes Logic, vol.2, pp.155-162, 1993. ,
On the Algebra of Elementary Embeddings of a Rank into Itself, Advances in Mathematics, vol.110, issue.2, pp.334-346, 1995. ,
DOI : 10.1006/aima.1995.1014
The Burau representation is not faithful for n ??? 6, Topology, vol.32, issue.2, pp.439-447, 1993. ,
DOI : 10.1016/0040-9383(93)90030-Y
Cryptanalysis of the shifted conjugacy authentication protocol, Journal of Mathematical Cryptology, vol.19, issue.2, pp.107-114, 2008. ,
DOI : 10.1007/s10623-007-9123-0
Iwahori-Hecke algebras and Schur algebras of the symmetric group, 1999. ,
DOI : 10.1090/ulect/015
DISTRIBUTIVE GROUPOIDS IN KNOT THEORY, Mathematics of the USSR-Sbornik, vol.47, issue.1, pp.73-83, 1982. ,
DOI : 10.1070/SM1984v047n01ABEH002630
Fast growth in the Følner function for Thompson's group F , Groups Geom, Dyn, vol.7, pp.633-651, 2013. ,
A dense family of well-behaved finite monogenerated left-distributive groupoids, Archive for Mathematical Logic, vol.46, issue.6, pp.377-402, 2013. ,
DOI : 10.1016/j.jpaa.2010.04.019