NameCumplido Cabello, María
DepartmentAlgebra
Knowledge areaÁlgebra
Professional categoryInvestigadora Contratada (Ramón y Cajal)
E-mailRequest
         
  • No. publications

    12

  • No. visits

    799

  • No. downloads

    545


 

Master's Final Project
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Grupos de Artin Virtuales

Gálvez Mateos, José; Cumplido Cabello, María (2023)
El siguiente trabajo tiene como objetivo realizar un estudio de las propiedades de los grupos de Artin virtuales, los ...
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The conjugacy stability problem for parabolic subgroups in artin groups

Cumplido Cabello, María (Springer, 2022)
Given an Artin group A and a parabolic subgroup P, we study if every two elements of P that are conjugate in A, are also ...
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Parabolic subgroups of large-type Artin groups

Cumplido Cabello, María; Martin, Alexandre; Vaskou, Nicolás (Cambridge University Press, 2022)
We show that the geometric realisation of the poset of proper parabolic subgroups of a large-type Artin group has a systolic ...
Final Degree Project
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Introducción a la Teoría de Bass–Serre

Gálvez Mateos, José; Cumplido Cabello, María; Higes López, José Manuel (2022)
En el siguiente trabajo se pretende realizar una introducción a la teoría de Bass-Serre. Ésta consiste en el estudio de ...
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Parabolic subgroups acting on the additional length graph

Antolín, Yago; Cumplido Cabello, María (Geometric & Topology Publications, 2021)
Let A ≠ A 1 , A 2 , I 2 m be an irreducible Artin–Tits group of spherical type. We show that the periodic elements of ...
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Commensurability in Artin groups of spherical type

Cumplido Cabello, María; Paris, Luis (EMS Press, 2021)
We give an almost complete classification of Artin groups of spherical type up to commensurability. Let A and A0 be two ...
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Conjugacy stability of parabolic subgroups of Artin-Tits groups of spherical type

Calvez, Matthieu; Cisneros de la Cruz, Bruno A.; Cumplido Cabello, María (Elsevier, 2020)
We give a complete classification of conjugacy stable parabolic subgroups of Artin-Tits groups of spherical type. This ...
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The root extraction problem for generic braids

Cumplido Cabello, María; González-Meneses López, Juan; Silvero Casanova, Marithania (MDPI, 2019)
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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On the minimal positive standardizer of a parabolic subgroup of an Artin–Tits group

Cumplido Cabello, María (Springer, 2018)
The minimal standardizer of a curve system on a punctured disk is the minimal positive braid that transforms it into a ...
PhD Thesis
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Sous-groupes paraboliques et généricité dans les groupes d'Artin-Tits de type sphérique.

Cumplido Cabello, María; González-Meneses López, Juan; Wiest, Bertold (2018)
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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On loxodromic actions of Artin–Tits groups

Cumplido Cabello, María (Elsevier, 2018)
Artin–Tits groups act on a certain delta-hyperbolic complex, called the “additional length complex”. For an element of the ...
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A positive proportion of elements of mapping class groups is pseudo-Anosov

Cumplido Cabello, María; Wiest, Bert (Wiley, 2018)
In the Cayley graph of the mapping class group of a closed surface, with respect to any generating set, we look at a ball ...