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

Elder, Murray

doi:10.2140/agt.2004.4.23

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$L_\delta$ groups are almost convex and have a sub-cubic Dehn function

Murray Elder

Algebraic & Geometric Topology 4 (2004) 23–29

DOI: 10.2140/agt.2004.4.23

arXiv: math.GR/0402205

Abstract

We prove that if the Cayley graph of a finitely generated group enjoys the property $L_{δ}$ 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

Volume 4, issue 1 (2004)