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Garside element
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1	PreGarside monoids and groups, parabolicity, amalgamation, and FC property Eddy Godelle∗and Luis Paris∗ April 12, 2012 Abstract Add to Reading List Source URL: math.u-bourgogne.fr Language: English - Date: 2012-09-28 08:25:42 Mathematics Algebraic structures Category theory Monoid Garside element Formal languages Ring Refinement monoid Transformation semigroup Abstract algebra Algebra Semigroup theory
2	Contemporary Mathematics THIN GROUPS OF FRACTIONS Patrick DEHORNOY Abstract. A number of properties of spherical Artin–Tits groups extend to Garside groups, defined as the groups of fractions of monoids where least co Add to Reading List Source URL: www.math.unicaen.fr Language: English - Date: 2002-01-29 15:00:19 Semigroup theory Algebraic structures Category theory Monoid Inverse element Semigroup Garside element Cancellation property Syntactic monoid Abstract algebra Algebra Mathematics
3	98.03 GAUSSIAN GROUPS ARE TORSION FREE Patrick DEHORNOY Abstract. Assume that G is a group of fractions of a cancellative monoid where lower common multiples exist and divisibility has no inﬁnite descending Add to Reading List Source URL: www.math.unicaen.fr Language: English - Date: 2003-11-04 14:02:51 Semigroup theory Algebraic structures Formal languages Monoid Rewriting Semigroup Cancellation property Free monoid Garside element Abstract algebra Mathematics Algebra
4	Contemporary Mathematics Using shifted conjugacy in braid-based cryptography Patrick DEHORNOY Abstract. Conjugacy is not the only possible primitive for designing braidbased protocols. To illustrate this principle, we d Add to Reading List Source URL: www.math.unicaen.fr Language: English - Date: 2006-08-29 03:42:11 Knot theory Braid group Garside element Conjugacy class Conjugacy problem Braid theory Patrick Dehornoy XTR Abstract algebra Algebra Group theory
5	DISKS IN TRIVIAL BRAID DIAGRAMS PATRICK DEHORNOY Abstract. We show that every trivial 3-strand braid diagram contains a disk, deﬁned as a ribbon ending in opposed crossings. Under a convenient algebraic form, the resul Add to Reading List Source URL: www.math.unicaen.fr Language: English - Date: 2003-11-12 08:03:40 Algebraic structures Braid group Group theory Knot theory Monoid Garside element Abstract algebra Algebra Semigroup theory
6	COXETER-LIKE GROUPS FOR GROUPS OF SET-THEORETIC SOLUTIONS OF THE YANG–BAXTER EQUATION PATRICK DEHORNOY Abstract. We attach with every finite, involutive, nondegenerate set-theoretic solution of the Yang–Baxter equati Add to Reading List Source URL: www.math.unicaen.fr Language: English - Date: 2013-05-16 12:01:28 Group theory Semigroup theory Algebraic structures Quasigroup Garside element Group action Monoid Norm Semigroup Abstract algebra Algebra Mathematics
7	[removed]ALTERNATING NORMAL FORMS FOR BRAIDS AND LOCALLY GARSIDE MONOIDS PATRICK DEHORNOY Abstract. We describe new types of normal forms for braid monoids, Artin– Add to Reading List Source URL: www.math.unicaen.fr Language: English - Date: 2008-02-14 08:45:16 Semigroup theory Algebraic structures Garside element Monoid Inverse element Ring Abstract algebra Algebra Mathematics
8	Algorithms for Garside calculus Patrick Dehornoya,1, Volker Gebhardtb,1,2 a Laboratoire b University de Math´ematiques Nicolas Oresme, CNRS UMR 6139, Universit´e de Caen, 14032 Caen, France Add to Reading List Source URL: www.math.unicaen.fr Language: English - Date: 2013-11-05 05:36:35 Algebraic structures Semigroup theory Category theory Nonassociative algebra Garside element Monoid Cancellation property Inverse element Group action Abstract algebra Algebra Mathematics
9	GARSIDE FAMILIES AND GARSIDE GERMS PATRICK DEHORNOY, FRANC ¸ OIS DIGNE, AND JEAN MICHEL Abstract. Garside families have recently emerged as a relevant context for extending results involving Garside monoids and groups, Add to Reading List Source URL: www.math.unicaen.fr Language: English - Date: 2013-01-16 03:29:33 Semigroup theory Cancellation property Nonassociative algebra Algebraic structures Surjective function Garside element Monomorphism Inverse element Inverse function Abstract algebra Mathematics Algebra
10	Gaussian groups and Garside groups, two generalisations of Artin groups Patrick Dehornoy and Luis Paris September 10, 1998 Abstract. It is known that a number of algebraic properties of the braid Add to Reading List Source URL: www.math.unicaen.fr Language: English - Date: 2003-11-04 14:02:13 Mathematics Garside element Monoid Free monoid Inverse element Cancellation property Ring Divisibility Semiautomaton Abstract algebra Algebra Semigroup theory

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