Geodesic
On the virtual Betti numbers of arithmetic hyperbolic 3–manifolds
Cooper, Daryl1 ; Long, Darren1 ; Reid, Alan W2
1 Department of Mathematics, University of California, Santa Barbara CA 93106, USA
2 Department of Mathematics, University of Texas, Austin TX 78712, USA
Geometry & topology, Tome 11 (2007) no. 4, pp. 2265-2276.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/gt.2007.11.2265
Keywords: virtual Betti number, large fundamental group

Cooper, Daryl 1 ; Long, Darren 1 ; Reid, Alan W 2

1 Department of Mathematics, University of California, Santa Barbara CA 93106, USA
2 Department of Mathematics, University of Texas, Austin TX 78712, USA 
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Cooper, Daryl; Long, Darren; Reid, Alan W. On the virtual Betti numbers of arithmetic hyperbolic 3–manifolds. Geometry & topology, Tome 11 (2007) no. 4, pp. 2265-2276. doi : 10.2140/gt.2007.11.2265. http://geodesic.mathdoc.fr/articles/10.2140/gt.2007.11.2265/

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