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Patrick Dehornoy
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#	Item
11	USING GROUPS FOR INVESTIGATING REWRITE SYSTEMS PATRICK DEHORNOY AND VINCENT VAN OOSTROM Abstract. We describe several technical tools that prove to be efficient for investigating the rewrite systems associated with an eq Add to Reading List Source URL: www.math.unicaen.fr Language: English - Date: 2008-04-19 10:20:36 Algebraic structures Semigroup theory Formal languages Mathematical structures Monoid Rewriting Free monoid Unification Ring Abstract algebra Mathematics Algebra
12	A CONJECTURE ABOUT CONJUGACY IN FREE GROUPS Patrick Dehornoy SDAD, ESA 6081, Math´ematiques, Universit´e[removed]Caen cedex, France [removed] Add to Reading List Source URL: www.math.unicaen.fr Language: English - Date: 2003-11-04 14:02:33 Lambda calculus Applied mathematics Computer science Mathematics Conjugacy class Group theory
13	COMPLETE POSITIVE GROUP PRESENTATIONS PATRICK DEHORNOY Abstract. A combinatorial property of positive group presentations, called completeness, is introduced, with an effective criterion for recognizing complete presenta Add to Reading List Source URL: www.math.unicaen.fr Language: English - Date: 2002-04-30 03:56:35 Formal languages Semigroup theory Combinatorics on words Mathematical logic Group theory Vehicle Identification Number Monoid Rewriting Presentation of a group Abstract algebra Mathematics Algebra
14	THE GROUP OF PARENTHESIZED BRAIDS PATRICK DEHORNOY Abstract. We investigate a group B• that includes Artin’s braid group B∞ and Thompson’s group F . The elements of B• are represented by braids diagrams in whic Add to Reading List Source URL: www.math.unicaen.fr Language: English - Date: 2005-06-15 11:33:50 Algebra Group theory Combinatorics on words Diagrams Braid group Braid theory Presentation of a group Van Kampen diagram Reidemeister move Abstract algebra Knot theory Mathematics
15	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
16	[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
17	[removed]Construction of Self-Distributive Operations and Charged Braids Patrick DEHORNOY Add to Reading List Source URL: www.math.unicaen.fr Language: English - Date: 1999-11-17 08:18:28 Braid group Group theory Knot theory
18	ON WORD REVERSING IN BRAID GROUPS PATRICK DEHORNOY AND BERT WIEST Abstract. It has been conjectured that in a braid group, or more generally in a Garside group, applying any sequence of monotone equivalences and word rev Add to Reading List Source URL: www.math.unicaen.fr Language: English - Date: 2005-09-07 03:58:40 Mathematics Braid group Braid theory Presentation of a group Rope Abstract algebra Knot theory Algebra
19	UNPROVABILITY RESULTS INVOLVING BRAIDS LORENZO CARLUCCI, PATRICK DEHORNOY, AND ANDREAS WEIERMANN Abstract. We construct long sequences of braids that are descending with respect to the standard order of braids (“Dehorn Add to Reading List Source URL: www.math.unicaen.fr Language: English - Date: 2007-11-23 13:16:30 Geometric topology Braid group Ordinal number Dehornoy order Braid theory Constructible universe Combinatory logic Normal distribution Knot theory Abstract algebra Mathematics
20	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

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