We study the fundamental group of the p-subgroup complex of a finite group G. We show first that pi1(A_3(Alt_{10})) is not a free group (here Alt_{10} is the alternating group on 10 letters). This is the first concrete ...

In this work we investigate the relation between the fundamental group of a complete Riemannian manifold M and the quotient between the Weyl group and reflection group of a polar action on M, as well as the relation between ...

The main purpose of this paper is to provide explicit computations of the fundamental group of several algebras. For this purpose, given a k-algebra A, we consider the category of all connected gradings of A by a group G ...

We give a simple geometric characterization of isospectral orbifolds covered by spheres, complex projective spaces and the quaternion projective line having cyclic fundamental group. The differential operators considered ...

Given a relative faithfully at pointed scheme over the spectrum of a discrete valuation ring X !S, this paper is motivated by the study of the natural morphism from the fundamental group scheme of the generic ber X ...

Corrección de datos publicados en “Heights of vector bundles and the fundamental group scheme of a curve”

We define the fundamental group of a Hopf algebra over a field. For this purpose we first consider gradings of Hopf algebras and Galois coverings. The latter are given by linear categories with new additional structure ...

O objetivo principal deste trabalho é a demonstração do Teorema Fundamental da Álgebra por meio da Teoria de Homotopia. Esta teoria é uma das mais importantes da Topologia Algébrica. Para um melhor entendimento do tema ...