Esta memoria está dedicada al estudio de la teoría de homotopía de álgebras operádicas y sus aplicaciones en teoría cuántica ...

Este Trabajo de Fin de Grado tiene como objetivo presentar los grupos de homotopía y demostrar algunos teoremas fundamentales ...

La conjetura de Sheehan en teoría de grafos afirma la inexistencia de grafos hamiltonianos 4-regulares con un único ciclo ...

En este Trabajo de Fin de Grado estudiamos la estructura de los grupos de Artin de ángulo recto (RAAGs). La primera parte ...

The aim of this work is to give a detailed proof of two results from the theory of constant mean curvature surfaces: ...

We show that, in the category of groups, every singly-generated class which is closed under isomorphisms, direct limits, ...

The purpose of this paper is to give a characterization of families of expander graphs via right-angled Artin groups. We ...

A group homomorphism �  ⁣ : � → � i:H→G is a localization of � H, if for every homomorphism �  ⁣ : � → � φ:H→G there ...

In this Final Undergraduate Project we will deal with Homology Spheres, spaces with the same integer homology groups of ...

We describe the role of the Schur multiplier in the structure of the p-torsion of discrete groups. More concretely, we ...

We prove that, in the category of groups, the composition of a cellularization and a localization functor need not be idempotent. This provides a negative answer to a question of Emmanuel Dror Farjoun.

The word problem, the conjugacy problem and the isomorphism problem were three fundamental problems of group theory proposed ...

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.

Let F be a finite group. We consider the lamplighter group L = F ≀ Z over F. We prove that L has a classifying space for ...

In the context of functional data analysis, we propose new two sample tests for homogeneity. Based on some well-known depth ...

In this paper we propose right-angled Artin groups as a platform for secret sharingschemes based on the efficiency (linear ...

We show that cellular approximations of nilpotent Postnikov stages are always nilpotent Postnikov stages, in particular ...

Fix a prime p. Since their definition in the context of Localization Theory, the homotopy functors PBZ/p and CWBZ/p have ...

We propose and analyze a new type of values for cooperative TU-games, which we call pyramidal values. Assuming that the ...

In this paper we introduce a common framework for describing the topological part of the Baum-Connes conjecture for a wide ...

We present examples of localization functors whose composition with certain cellularization functors is not idempotent, and vice versa.

In this paper we obtain a description of the BZ/p-cellularization (in the sense of Dror-Farjoun) of the classifying spaces of all finite groups, for all primes p.

In this note we discuss the effect of the BZ/p-nullification PBZ/p and the BZ/p-cellularization CWBZ/p over classifying ...

Let G be a discrete group for which the classifying space for proper G-actions is finite-dimensional. We find a space W ...