Volume 4, issue 1 (2004)

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ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
$L_\delta$ groups are almost convex and have a sub-cubic Dehn function

Murray Elder

Algebraic & Geometric Topology 4 (2004) 23–29

arXiv: math.GR/0402205

Abstract

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

Keywords
almost convex, isoperimetric function, property $L_\delta$
Mathematical Subject Classification 2000
Primary: 20F65
Secondary: 20F67
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Publication
Received: 2 September 2003
Revised: 3 October 2003
Accepted: 19 December 2003
Published: 17 January 2004
Authors
Murray Elder
School of Mathematics and Statistics
University of St Andrews
North Haugh
St Andrews
Fife
KY16 9SS
Scotland