I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2005, VOLUME 11, NUMBER 4, PAGES 95-103
Properly -realizable groups
F. F. Lasheras
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A finitely presented group is said to be properly
there exists a compact -polyhedron with and whose universal cover has the proper
homotopy type of a -manifold (with boundary).
We discuss the behavior of this property with respect to amalgamated
products, HNN-extensions, and direct products, as well as the
independence with respect to the chosen -polyhedron.
We also exhibit certain classes of groups satisfying this property:
finitely generated Abelian groups, (classical) hyperbolic groups, and
Last modified: November 28, 2005