Geodesic
Conservative subgroup separability for surfaces with boundary
Baker, Mark D1 ; Cooper, Daryl2
1IRMAR, Université de Rennes 1, 35042 Rennes Cedex, France
2Department of Mathematics, University of California, Santa Barbara, CA 93106, USA
Algebraic and Geometric Topology, Tome 13 (2013) no. 1, pp. 115-125
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If F is a compact surface with boundary, then a finitely generated subgroup without peripheral elements of G = π1(F) can be separated from finitely many other elements of G by a finite index subgroup of G corresponding to a finite cover F̃ with the same number of boundary components as F.

DOI : 10.2140/agt.2013.13.115
Classification : 57M05, 20E26, 57M07, 57M10, 57N05
Keywords: subgroup separability

Baker, Mark D  1   ; Cooper, Daryl  2

1 IRMAR, Université de Rennes 1, 35042 Rennes Cedex, France
2 Department of Mathematics, University of California, Santa Barbara, CA 93106, USA 
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Baker, Mark D; Cooper, Daryl. Conservative subgroup separability for surfaces with boundary. Algebraic and Geometric Topology, Tome 13 (2013) no. 1, pp. 115-125. doi: 10.2140/agt.2013.13.115

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