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Amalgamated products and properly 3-realizable groups

 

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Author: Cárdenas Escudero, Manuel Enrique
Fernández Lasheras, Francisco Jesús
Quintero Toscano, Antonio Rafael
Repovš, Dušan
Department: Universidad de Sevilla. Departamento de Geometría y Topología
Date: 2007-01
Published in: Journal of Pure and Applied Algebra, 208 (1), 293-296.
Document type: Article
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 π1(K)≅G and whose universal cover View the MathML source has the proper homotopy type of a 3-manifold (with boundary).
Cite: 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.
Size: 135.5Kb
Format: PDF

URI: http://hdl.handle.net/11441/43364

DOI: 10.1016/j.jpaa.2005.12.006

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