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A criterion for hyperbolicity

Published online by Cambridge University Press:  20 January 2009

Michael Batty
Mathematics Institute, University of Warwick, Coventry, England
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The usual definition of hyperbolicity of a group G demands that all geodesic triangles in the Cayley graph of G should be thin. Using the theorem that a susbquadratic isoperimetric inequality implies a linear one, we show that it is in fact only necessary for all triangles from a given combing to be thin, thus giving a new criterion for hyperbolicity of finitely presented groups.

Research Article
Copyright © Edinburgh Mathematical Society 1999



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