Patrick Dehornoy

Results: 48



#Item
31Algebra / Group theory / Combinatorics on words / Braid group / Braids / Ropework / Braid theory / Van Kampen diagram / Link / Abstract algebra / Knot theory / Mathematics

[removed]COMBINATORIAL DISTANCE BETWEEN BRAID WORDS PATRICK DEHORNOY Abstract. We give a simple naming argument for establishing lower bounds on the combinatorial distance between (positive) braid words.

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Source URL: www.math.unicaen.fr

Language: English - Date: 2009-06-20 10:20:03
32Semigroup theory / Category theory / Monoid / Least common multiple / Torsion / Garside element / Abstract algebra / Algebra / Mathematics

THE GROUP OF FRACTIONS OF A TORSION FREE LCM MONOID IS TORSION FREE PATRICK DEHORNOY Abstract. We improve and shorten the argument given in [3] (this journal, vol[removed]pp 291–297). In particular, the fact that A

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Source URL: www.math.unicaen.fr

Language: English - Date: 2004-07-09 06:04:50
33Algebraic number theory

[removed]A Normal Form for the Free Left Distributive Law. Patrick DEHORNOY

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Source URL: www.math.unicaen.fr

Language: English - Date: 2005-09-07 09:59:36
    34Semigroup theory / Group theory / Mathematical structures / Garside element / Monoid / Braid group / Group action / Geometric group theory / Category / Abstract algebra / Algebra / Algebraic structures

    FOUNDATIONS OF GARSIDE THEORY Patrick DEHORNOY with Franc ¸ ois DIGNE Eddy GODELLE

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    Source URL: www.math.unicaen.fr

    Language: English - Date: 2013-09-04 08:00:01
    35Algebra / Braid group / Group theory / Braid / Exponentiation / Abstract algebra / Knot theory / Textile arts

    STRANGE QUESTIONS ABOUT BRAIDS Patrick DEHORNOY SDAD ESA 6081 D´epartement de math´ematiques Universit´e Campus II, BP 5186, [removed]Caen, France [removed]

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    Source URL: www.math.unicaen.fr

    Language: English - Date: 2000-11-22 07:58:08
    36Representation theory / Burau representation / Matrix / Abstract algebra / Algebra / Braid groups

    [removed]Weak Faithfulness Properties for the Burau Representation Patrick DEHORNOY

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    Source URL: www.math.unicaen.fr

    Language: English - Date: 2005-09-07 10:02:23
    37Mathematical logic / Congruence lattice problem / Functional analysis / Projection / linear algebra

    [removed]Groups with a Complemented Presentation Patrick DEHORNOY ABSTRACT. Let G be a group given by a presentation. We study the decomposition of the elements

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    Source URL: www.math.unicaen.fr

    Language: English - Date: 2005-09-07 10:00:16
    38Algebra / Combinatorics / Ropework / Group theory / Braid group / Permutations / Braid theory / Inversion / Presentation of a group / Mathematics / Abstract algebra / Knot theory

    [removed]Three-Dimensional Realizations of Braids Patrick DEHORNOY ABSTRACT. Let us consider a standard braid diagram as a three-dimensional figure

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    Source URL: www.math.unicaen.fr

    Language: English - Date: 2005-09-07 10:03:58
    39Semigroup theory / Algebraic structures / Nonassociative algebra / Category theory / Monoid / Quasigroup / Inverse element / Entailment / Garside element / Abstract algebra / Algebra / Mathematics

    SET-THEORETIC SOLUTIONS OF THE YANG–BAXTER EQUATION, RC-CALCULUS, AND GARSIDE GERMS PATRICK DEHORNOY Abstract. Building on a result by W. Rump, we show how to exploit the right-cyclic law (xy)(xz) = (yx)(yz) in order t

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    Source URL: www.math.unicaen.fr

    Language: English - Date: 2014-05-06 11:01:23
    40Semigroup theory / Algebraic structures / Category theory / Monoid / Garside element / Category / Functor / Morphism / Semigroup action / Abstract algebra / Algebra / Mathematics

    [removed]LEFT-GARSIDE CATEGORIES, SELF-DISTRIBUTIVITY, AND BRAIDS PATRICK DEHORNOY Abstract. In connection with the emerging theory of Garside categories, we

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    Source URL: www.math.unicaen.fr

    Language: English - Date: 2009-01-16 12:27:16
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