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2008 LERF and the Lubotzky–Sarnak Conjecture
Marc Lackenby, Darren D Long, Alan W Reid
Geom. Topol. 12(4): 2047-2056 (2008). DOI: 10.2140/gt.2008.12.2047

Abstract

We prove that every closed hyperbolic 3–manifold has a family of (possibly infinite sheeted) coverings with the property that the Cheeger constants in the family tend to zero. This is used to show that, if in addition the fundamental group of the manifold is LERF, then it satisfies the Lubotzky–Sarnak conjecture.

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Marc Lackenby. Darren D Long. Alan W Reid. "LERF and the Lubotzky–Sarnak Conjecture." Geom. Topol. 12 (4) 2047 - 2056, 2008. https://doi.org/10.2140/gt.2008.12.2047

Information

Received: 11 April 2008; Accepted: 21 May 2008; Published: 2008
First available in Project Euclid: 20 December 2017

zbMATH: 1157.57009
MathSciNet: MR2431015
Digital Object Identifier: 10.2140/gt.2008.12.2047

Subjects:
Primary: 57M50

Rights: Copyright © 2008 Mathematical Sciences Publishers

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