Braid theory

Results: 102



#Item
61Semigroup theory / Algebraic structures / Garside element / Monoid / Inverse element / Ring / Abstract algebra / Algebra / Mathematics

[removed]ALTERNATING NORMAL FORMS FOR BRAIDS AND LOCALLY GARSIDE MONOIDS PATRICK DEHORNOY Abstract. We describe new types of normal forms for braid monoids, Artin–

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Source URL: www.math.unicaen.fr

Language: English - Date: 2008-02-14 08:45:16
62Braid group / Group theory / Knot theory

[removed]Construction of Self-Distributive Operations and Charged Braids Patrick DEHORNOY

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Source URL: www.math.unicaen.fr

Language: English - Date: 1999-11-17 08:18:28
63Mathematics / Braid group / Braid theory / Presentation of a group / Rope / Abstract algebra / Knot theory / Algebra

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

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Source URL: www.math.unicaen.fr

Language: English - Date: 2005-09-07 03:58:40
64Geometric topology / Braid group / Ordinal number / Dehornoy order / Braid theory / Constructible universe / Combinatory logic / Normal distribution / Knot theory / Abstract algebra / Mathematics

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

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Source URL: www.math.unicaen.fr

Language: English - Date: 2007-11-23 13:16:30
65Knot theory / Group theory / Braid group / Geometric group theory / Functions and mappings / Braid theory / Dehornoy order / Cayley graph / Presentation of a group / Abstract algebra / Mathematics / Algebra

STILL ANOTHER APPROACH TO THE BRAID ORDERING PATRICK DEHORNOY Abstract. We develop a new approach to the linear ordering of the braid group Bn , based on investigating its restriction to the set Div(∆dn ) of all diviso

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Source URL: www.math.unicaen.fr

Language: English - Date: 2006-05-25 11:22:20
66Mathematics / Garside element / Monoid / Free monoid / Inverse element / Cancellation property / Ring / Divisibility / Semiautomaton / Abstract algebra / Algebra / Semigroup theory

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

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Source URL: www.math.unicaen.fr

Language: English - Date: 2003-11-04 14:02:13
67Structure / Ordinal numbers / Set theory / Mathematics / Monoid / Mathematical logic

[removed]THE GEOMETRY MONOID OF LEFT SELF-DISTRIBUTIVITY Patrick DEHORNOY Abstract. We develop a counterpart to Garside’s analysis of the braid monoid Bn+

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Source URL: www.math.unicaen.fr

Language: English - Date: 2000-02-15 13:55:13
68Group theory / Braid group / Braid theory / Monoid / Quasigroup / Abstract algebra / Algebra / Knot theory

[removed]Transfinite Braids and Left Distributive Operations Patrick DEHORNOY

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Source URL: www.math.unicaen.fr

Language: English - Date: 2005-09-07 10:04:43
69Algebra / 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
70Semigroup 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
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