idUS - Author profile: Cumplido Cabello, María

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Name	Cumplido Cabello, María
Department	Algebra
Knowledge area	Álgebra
Professional category	Investigadora Contratada (Ramón y Cajal)
E-mail	Request

No. publications

12
No. visits

790
No. downloads

540

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Publications
Master's Final Project 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 ...
Article 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 ...
Article 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 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 ...
Article 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 ...
Article 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 ...
Article 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 ...
Article 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, ...
Article 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 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 ...
Article 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 ...
Article 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 ...