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arxiv: 1204.4636 · v1 · pith:6PVPZRARnew · submitted 2012-04-20 · 🧮 math.GT

Conservative Subgroup Separability For Surfaces With Boundary

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keywords boundarysubgroupelementsfinitefinitelycomponentsconservativecorresponding
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If F is a surface with boundary, then a finitely generated subgroup without peripheral elements of G = {\pi}_1(F) can be separated from finitely many other elements of G by a finite index subgroup of G corresponding to a finite cover F' with the same number of boundary components as F .

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