Listar por autor "González-Meneses López, Juan"
Mostrando ítems 21-38 de 38
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Artículo
On the centralizer of generic braids
(De Gruyter, 2018-11)We study the centralizer of a braid from the point of view of Garside theory, showing that generically a minimal set of ...
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Artículo
On the cycling operation in braid groups
(Elsevier, 2008-09-06)The cycling operation is a special kind of conjugation that can be applied to elements in Artin’s braid groups, in order ...
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Artículo
On the singular braid monoid of an orientable surface
(American Mathematical Society, 2004)In this paper we show that the singular braid monoid of an orientable surface can be embedded in a group. The proof is purely topological, making no use of the monoid presentation.
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Artículo
On the structure of the centralizer of a braid
(Elsevier, 2004)The mixed braid groups are the subgroups of Artin braid groups whose elements preserve a given partition of the base ...
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Artículo
Ordering pure braid groups on compact, connected surfaces
(University of California, 2002-04)We prove that the pure braid groups on compact, connected, orientable surfaces are bi-orderable, and that the pure braid groups on compact, connected non-orientable surfaces have generalized torsion, thus they are not bi-orderable.
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Artículo
Polynomial braid combing
(Oxford University Press, 2018)We prove that, for n ≥ 3, the minimal dimension of a model of the classifying space of the braid group Bn, and of the pure braid group Pn, with respect to the family of virtually cyclic groups is n.
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Artículo
Presentations for the monoids of singular braids on closed surfaces
(Taylor & Francis, 2002)We give presentations, in terms of generators and relations, for the monoids SBn(M) of singular braids on closed surfaces. ...
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Trabajo Fin de Grado
El problema de la palabra en los grupos de trenzas
(2018-06-18)The word problem, the conjugacy problem and the isomorphism problem were three fundamental problems of group theory proposed ...
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Artículo
Reducible braids and Garside theory
(Geometry & Topology Publications, 2011)We show that reducible braids which are, in a Garside-theoretical sense, as simple as possible within their conjugacy ...
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Artículo
Solving the conjugacy problem in Garside groups by cyclic sliding
(Elsevier, 2010-06)We present a solution to the conjugacy decision problem and the conjugacy search problem in Garside groups, which is ...
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Tesis Doctoral
Sous-groupes paraboliques et généricité dans les groupes d'Artin-Tits de type sphérique.
(2018-09-03)En la primera parte de esta tesis estudiamos la conjetura de genericidad: En el grafo de Cayley del mapping class group ...
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Trabajo Fin de Grado
Teoría de grupos y el Skewb
(2020)En este trabajo repasaremos algunas definiciones y resultados básicos de la Teoría de Grupos y trataremos de utilizarlos ...
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Artículo
The cyclic sliding operation in Garside groups
(Springer, 2010-05)We present a new operation to be performed on elements in a Garside group, called cyclic sliding, which is introduced to ...
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Artículo
The nth root of a braid is unique up to conjugacy
(Mathematical Sciences Publishers, 2003-11-01)We prove a conjecture due to Makanin: if α and β are elements of the Artin braid group Bn such that α k = β k for some nonzero integer k, then α and β are conjugate. The proof involves the Nielsen-Thurston classification of braids.
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Artículo
The root extraction problem for generic braids
(MDPI, 2019-10)We show that, generically, finding the k-th root of a braid is very fast. More precisely, we provide an algorithm which, ...
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Tesis Doctoral
Trenzas en superficies cerradas
(2000)En este trabajo se estudian las trenzas en superficies cerradas. En primer lugar, se dan nuevas presentaciones de los ...
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Artículo
Twisted conjugacy in braid groups
(Springer, 2014)In this note we solve the twisted conjugacy problem for braid groups, i.e. we propose an algorithm which, given two braids ...
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Artículo
Vassiliev invariants for braids on surfaces
(American Mathematical Society, 2004)We show that Vassiliev invariants separate braids on a closed oriented surface, and we exhibit an universal Vassiliev ...