Summary: 



A HOMOLOGICAL CHARACTERIZATION

OF HYPERBOLIC GROUPS



D. J. Allcock and S. M. Gersten



Abstract. A finitely presented group G is hyperbolic iff H(1)1(G, R) = *
* 0 =
~H(1)2(G, R), where H(1)*(resp. ~H(1)*) denotes the `1-homology (resp. *
*reduced `1-
homology). If is a graph, then every `1 1-cycle in with real coeffici*
*ents can be

Source: Allcock, Daniel - Department of Mathematics, University of Texas at Austin

Collections: Mathematics