The fundamental group of quotients of products of some topological spaces by a finite group -- A generalization of a Theorem of Bauer-Catanese-Grunewald-Pignatelli

Rodolfo Aguilar

Published 2020-04-01Version 1

We provide a description of the fundamental group of the quotient of a product of topological spaces X i admitting a universal cover by a finite group G provided that there is only a finite number of path-connected components in X g i for every g $\in$ G. This generalizes previous work of Bauer-Catanese-Grunewald-Pignatelli and Dedieu-Perroni.