论文标题

有限群体的某些拓扑空间产品的基本商组 - 鲍尔 - 卡塔内斯 - 格鲁内瓦尔德 - 佩尼塔利的定理的概括

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

论文作者

Aguilar, Rodolfo

论文摘要

我们提供了拓扑空间$ x_i $的产品的基本组的描述,每个人都承认有限的$ g $通用封面,前提是每$ g \ in G $中只有$ x_i^g $中的路径连接组件有限。这概括了Bauer-Catanese-Grunewald-Pignatelli和Dedieu-Perroni的先前工作。

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

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