On a theorem of Peter Scott

Patel, Priyam

doi:10.1090/S0002-9939-2014-12031-4

On a theorem of Peter Scott
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Proc. Amer. Math. Soc. 142 (2014), 2891-2906 Request permission

Abstract:

We quantify Peter Scott’s theorem that surface groups are locally extended residually finite (LERF) in terms of geometric data. In the process, we will quantify another result by Scott that any closed geodesic in a surface lifts to an embedded loop in a finite cover.

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