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2007 On the virtual Betti numbers of arithmetic hyperbolic $3$–manifolds
Daryl Cooper, Darren Long, Alan W Reid
Geom. Topol. 11(4): 2265-2276 (2007). DOI: 10.2140/gt.2007.11.2265

Abstract

We show that closed arithmetic hyperbolic 3–manifolds with virtually positive first Betti number have infinite virtual first Betti number. As a consequence, such manifolds have large fundamental group.

Citation

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Daryl Cooper. Darren Long. Alan W Reid. "On the virtual Betti numbers of arithmetic hyperbolic $3$–manifolds." Geom. Topol. 11 (4) 2265 - 2276, 2007. https://doi.org/10.2140/gt.2007.11.2265

Information

Received: 13 December 2006; Accepted: 5 September 2007; Published: 2007
First available in Project Euclid: 20 December 2017

zbMATH: 1140.57002
MathSciNet: MR2372848
Digital Object Identifier: 10.2140/gt.2007.11.2265

Subjects:
Primary: 57M10

Keywords: large fundamental group , virtual Betti number

Rights: Copyright © 2007 Mathematical Sciences Publishers

Vol.11 • No. 4 • 2007
MSP
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