Opened Access Groups which are not properly 3-realizable

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Autor: Funar, Louis
Fernández Lasheras, Francisco Jesús
Repovs, Dusan
Departamento: Universidad de Sevilla. Departamento de Geometría y Topología
Fecha: 2012
Publicado en: Revista Matemática Iberoamericana, 28, 401-414.
Tipo de documento: Artículo
Resumen: A 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.
Cita: Funar, L., Fernández Lasheras, F.J. y Repovs, D. (2012). Groups which are not properly 3-realizable. Revista Matemática Iberoamericana, 28, 401-414.
Tamaño: 189.5Kb
Formato: PDF

URI: http://hdl.handle.net/11441/45241

DOI: 10.4171/rmi/682

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