In this thesis we examine the proof of a theorem due to Scholz and Reichardt in 1937. It states that any odd p-group occurs as a Galois group over the rationals.

Any surface that is intrinsically polyhedral can be represented by a collection of simple polygons (fragments), glued along pairs of equally long oriented edges, where each fragment is endowed with the geodesic metric ...

Structural Health Monitoring is of major interest in many areas of structural mechanics. This paper presents a new approach based on the combination of dimensionality reduction and data-mining techniques able to differentiate ...

We determine the automorphism group of the modular curve X* 0 (N), obtained as the quotient of the modular curve X0(N) by the group of its Atkin-Lehner involutions, for all square-free values of N.

In this bachelor's thesis we give a complete proof of the Kronecker-Weber theorem, which states that every finite abelian extension over the field of rational numbers Q is contained in some cyclotomic extension of Q. We ...

Two of the most successful methods to generate unstructured hexahedral meshes are the grid-based methods and the advancing front methods. On the one hand, the grid-based methods generate high-quality hexahedra in the inner ...

Let C/Q be the genus 3 Picard curve given by the affine model y^3=x^4-x. In this Master thesis we compute its Sato-Tate group, show the generalized Sato-Tate conjecture for C, and compute the statistical moments for the ...

En este trabajo se determinan los twists de las cuárticas planas lisas, es decir, de las curvas lisas no hiperelípticas de género 3. Se parte de una clasificación de Henn de las cuárticas planas y sus grupos de automorfismos ...

Es tracta de presentar un concepte que, d’alguna manera, unifica problemes que, en una primera lectura, podria semblar que no tenen res a veure. I fer-ho basant-nos en els resultats obtinguts entre 1931 i 1971 pels matemàtics ...