Geodesic
Residual finiteness, QCERF and fillings of hyperbolic groups
Agol, Ian1 ; Groves, Daniel2 ; Manning, Jason Fox3
1 University of California, Berkeley, 970 Evans Hall #3840, Berkeley, CA 94720-3840, USA
2 Department of Math, Stats and Comp Sci, University of Illinois at Chicago, 851 S Morgan St, Chicago, IL 60607-7045, USA
3 Department of Mathematics, SUNY at Buffalo, Buffalo, NY 14260-2900, USA
Geometry & topology, Tome 13 (2009) no. 2, pp. 1043-1073.

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

We prove that if every hyperbolic group is residually finite, then every quasi-convex subgroup of every hyperbolic group is separable. The main tool is relatively hyperbolic Dehn filling.

DOI : 10.2140/gt.2009.13.1043
Keywords: hyperbolic group, quasiconvex subgroup, residually finite, LERF

Agol, Ian 1 ; Groves, Daniel 2 ; Manning, Jason Fox 3

1 University of California, Berkeley, 970 Evans Hall #3840, Berkeley, CA 94720-3840, USA
2 Department of Math, Stats and Comp Sci, University of Illinois at Chicago, 851 S Morgan St, Chicago, IL 60607-7045, USA
3 Department of Mathematics, SUNY at Buffalo, Buffalo, NY 14260-2900, USA 
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Agol, Ian; Groves, Daniel; Manning, Jason Fox. Residual finiteness, QCERF and fillings of hyperbolic groups. Geometry & topology, Tome 13 (2009) no. 2, pp. 1043-1073. doi : 10.2140/gt.2009.13.1043. http://geodesic.mathdoc.fr/articles/10.2140/gt.2009.13.1043/

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