AGT 4 (2004) Paper 2 (Abstract)

Algebraic and Geometric Topology 4 (2004), paper no. 2, pages 23-29.

L_delta groups are almost convex and have a sub-cubic Dehn function

Murray Elder

Abstract. We prove that if the Cayley graph of a finitely generated group enjoys the property L_delta then the group is almost convex and has a sub-cubic isoperimetric function.

Keywords. Almost convex, isoperimetric function, property L_delta

AMS subject classification. Primary: 20F65. Secondary: 20F67.

DOI: 10.2140/agt.2004.4.23

E-print: arXiv:math.GR/0402205

Submitted: 2 September 2003. (Revised: 3 October 2003.) Accepted: 19 December 2003. Published: 17 January 2004.

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Murray Elder
School of Mathematics and Statistics
University of St. Andrews
North Haugh, St. Andrews
Fife, KY16 9SS, Scotland
Email: murray@mcs.st-and.ac.uk
URL: http://turnbull.mcs.st-and.ac.uk/~murray/
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