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A Criterion for Hyperbolicity

Lookup NU author(s): Dr Michael Batty


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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 subquadratic 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.

Publication metadata

Author(s): Batty M

Publication type: Article

Publication status: Published

Journal: Proceedings of the Edinburgh Mathematical Society

Year: 1999

Volume: 42

Issue: 3

Pages: 445-454

Print publication date: 01/10/1999

ISSN (print): 0308-2105

ISSN (electronic): 1473-7124

Publisher: The R S E Scotland Foundation


DOI: 10.1017/S0013091500020447


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