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A criterion for hyperbolicity
Published online by Cambridge University Press: 20 January 2009
Extract
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.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 42 , Issue 3 , October 1999 , pp. 445 - 454
- Copyright
- Copyright © Edinburgh Mathematical Society 1999