Amalgamated products and properly 3-realizable groups

M. Cardenas; F. F. Lasheras; A. Quintero; D. Repovš

doi:10.1016/j.jpaa.2005.12.006

paper

Amalgamated products and properly 3-realizable groups

arXiv:math/0609289 · doi:10.1016/j.jpaa.2005.12.006

Abstract

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 $G$ is said to be properly 3-realizable if there exists a compact 2-polyhedron $K$ with $π_{1} (K) ≅ G$ and whose universal cover $K ~$ has the proper homotopy type of a 3-manifold (with boundary).

J. Pure Appl. Alg., to appear