9 citations · 20 across the 6 of their papers we have counts for
6 papers
Weak -structures and one-relator groups
M. Cárdenas, F. F. LasHeras, A. Quintero
Motivated by the notion of boundary for hyperbolic and groups, M. Bestvina in "Local Homology Properties of Boundaries of Groups" introduced the notion of a (weak) $\mathc…
A topological equivalence relation for finitely presented groups
M. Cárdenas, F. F. Lasheras, A. Quintero +1
In this paper, we consider an equivalence relation within the class of finitely presented discrete groups attending to their asymptotic topology rather than their asymptotic geomet…
On manifolds with nonhomogeneous factors
M. Cárdenas, F. F. Lasheras, A. Quintero +1
We present simple examples of finite-dimensional connected homogeneous spaces (they are actually topological manifolds) with nonhomogeneous and nonrigid factors. In particular, we…
One-relator groups and proper 3-realizability
M. Cárdenas, F. F. Lasheras, A. Quintero +1
How different is the universal cover of a given finite 2-complex from a 3-manifold (from the proper homotopy viewpoint)? Regarding this question, we recall that a finitely presente…
Groups which are not properly 3-realizable
Louis Funar, Francisco F. Lasheras, Dusan Repovs
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 tha…
Amalgamated products and properly 3-realizable groups
M. Cardenas, F. F. Lasheras, A. Quintero +1
In this paper, we show that the class of all properly 3-realizable groups is closed under amalgamated free products (and HNN-extensions) over finite groups. We recall that is s…