UNSPECIFIED (1999) A criterion for hyperbolicity. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 42 (Part 3). pp. 445-454. ISSN 0013-0915

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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.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Journal or Publication Title:	PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY
Publisher:	OXFORD UNIV PRESS
ISSN:	0013-0915
Date:	October 1999
Volume:	42
Number:	Part 3
Number of Pages:	10
Page Range:	pp. 445-454
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/14018

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