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Equivalence of Geometric and Combinatorial Dehn Functions

Jose Burillo

dg-gaarXiv:dg-ga/9508008

Abstract

In this paper it is proved that if a finitely presented group acts properly discontinuously, cocompactly and by isometries on a simply connected Riemannian manifold, then the two Dehn functions, of the group and the manifold, respectively, are equivalent.

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