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A criterion for hyperbolicity

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Abstract

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

Topics: QA
Publisher: OXFORD UNIV PRESS
OAI identifier: oai:wrap.warwick.ac.uk:14018
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