Article
Amalgamated products and properly 3-realizable groups
Author/s | Cárdenas Escudero, Manuel Enrique
Fernández Lasheras, Francisco Jesús Quintero Toscano, Antonio Rafael Repovš, Dušan |
Department | Universidad de Sevilla. Departamento de Geometría y Topología |
Publication Date | 2007-01 |
Deposit Date | 2016-07-08 |
Published in |
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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 ... 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 π1(K)≅G and whose universal cover View the MathML source has the proper homotopy type of a 3-manifold (with boundary). |
Funding agencies | Ministerio de Educación y Ciencia (MEC). España |
Project ID. | MTM 2004-01865
BI-ES/04-05-014 |
Citation | Cárdenas Escudero, M.E., Fernández Lasheras, F.J., Quintero Toscano, A.R. y Repovš, D. (2007). Amalgamated products and properly 3-realizable groups. Journal of Pure and Applied Algebra, 208 (1), 293-296. |
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