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Geometric Topology II
September 29 - October 5, 2002
Inter-University Center, Dubrovnik; Department of Mathematics, University of Zagreb
Dubrovnik, Croatia

Organizers
Ivan Ivansic, University of Zagreb;, James E. Keesling, University of Florida;, Alexander N. Dranishnikov, University of Florida;, Sime Ungar, University of Zagreb

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On properly 3-realizable groups
by
Francisco F. Lasheras
University of Seville (Spain)
Coauthors: Manuel Cárdenas (University of Seville)

We study the class of those finitely presented groups whixh are ``properly 3-realizable", i.e., those groups G for which there exists a compact 2-polyhedron having G as fundamental group and whose universal cover is proper homotopy equivalent to a 3-manifold (with boundary). This property would allow us to use duality arguments in the study of certain low-dimensional proper invariants of the group G. We enumerate some of the results obtained on this class of groups from previous work, as well as we present a new result that assures that certain amalgamated free product of groups G1 *F G2 (HNN-extensions G*F), over a cyclic group F, are properly 3-realizable. The question of whether or not every finitely presented group is properly 3-realizable still remains open.

Date received: June 11, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caje-12.