{ "id": "2004.00271", "version": "v1", "published": "2020-04-01T08:06:36.000Z", "updated": "2020-04-01T08:06:36.000Z", "title": "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", "authors": [ "Rodolfo Aguilar" ], "categories": [ "math.AG", "math.GR" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2020-04-01T08:06:36.000Z" } ], "analyses": { "keywords": [ "finite group", "fundamental group", "topological spaces", "bauer-catanese-grunewald-pignatelli", "generalization" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }