Funar, LouisFernández Lasheras, Francisco JesúsRepovš, Dušan2016-09-222016-09-222012Funar, L., Fernández Lasheras, F.J. y Repovs, D. (2012). Groups which are not properly 3-realizable. Revista Matemática Iberoamericana, 28, 401-414.0213-2230http://hdl.handle.net/11441/45241A group is properly 3-realizable if it is the fundamental group of a compact polyhedron whose universal covering is proper homotopically equivalent to some 3-manifold. We prove that when such a group is also quasi-simply filtered then it has pro-(finitely generated free) fundamental group at infinity and semi-stable ends. Conjecturally the quasi-simply filtration assumption is superfluous. Using these restrictions we provide the first examples of finitely presented groups which are not properly 3-realizable, for instance large families of Coxeter groups.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Properly 3-realizableGeometric simple connectivityQuasi-simple filtered groupCoxeter groupinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.4171/rmi/682