Regular theory in complex braid groups

Autor: Owen GARNIER

Publikováno v: HAL

In his seminal paper on complex reflection arrangements, Bessis introduces a Garside structure for the braid group of a well-generated irreducible complex reflection group. Using this Garside structure, he establishes a strong connection between regu

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5c6f765a17b6ac904c72a4b24de93147

Un hybride du groupe de Thompson F et du groupe de tresses B°°

Autor: Tesson, Emilie

Nous étudions un certain monoïde défini par une présentation, notée P, qui est un hybride de celles du monoïde de tresses infinies et du monoïde de Thompson. Pour cela, nous utilisons plusieurs approches. On décrit d’abord un systè

Externí odkaz: http://www.theses.fr/2018NORMC212/document

On the minimal positive standardizer of a parabolic subgroup of an Artin–Tits group

Autor: María Cumplido

Publikováno v: Journal of Algebraic Combinatorics
Journal of Algebraic Combinatorics, 2019, 49 (3), pp.337-359. ⟨10.1007/s10801-018-0837-z⟩
Journal of Algebraic Combinatorics, Springer Verlag, 2019, 49 (3), pp.337-359. ⟨10.1007/s10801-018-0837-z⟩

International audience; The minimal standardizer of a curve system on a punctured disk is the minimal positive braid that transforms it into a system formed only by round curves. In this article, we give an algorithm to compute it in a geometrical wa

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aba0e427c178acffba600f6ad12345a5
https://hal.archives-ouvertes.fr/hal-01764494/document

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A family of pseudo-Anosov braids whose super summit sets grow exponentially

Autor: Sandrine Caruso

Publikováno v: Journal of Knot Theory and Its Ramifications
Journal of Knot Theory and Its Ramifications, World Scientific Publishing, 2013, 22 (9), 11 p. 〈10.1142/S0218216513500508〉
Journal of Knot Theory and Its Ramifications, World Scientific Publishing, 2013, 22 (9), 11 p. ⟨10.1142/S0218216513500508⟩
Journal of Knot Theory and Its Ramifications, 2013, 22 (9), 11 p. ⟨10.1142/S0218216513500508⟩

International audience; We prove that the size of the super summit set of a braid can grow exponentially with the canonical length of the braid, even for pseudo-Anosov braids.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e9c73a7aec4ffb0d1b2955230bce2068
https://hal.archives-ouvertes.fr/hal-00793581