On a theorem of Peter Scott
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- by Priyam Patel PDF
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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.References
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Additional Information
- Priyam Patel
- Affiliation: Department of Mathematics, Rutgers University, Piscataway, New Jersey 08854
- Address at time of publication: Department of Mathematics, Purdue University, 150 N. University Street, West Lafayette, Indiana 47907
- Email: patel1376@math.purdue.edu
- Received by editor(s): February 8, 2012
- Received by editor(s) in revised form: July 8, 2012
- Published electronically: April 18, 2014
- Additional Notes: The author was supported by a Graduate Assistance in Areas of National Need (GAANN) Fellowship
- Communicated by: Daniel Ruberman
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 142 (2014), 2891-2906
- MSC (2010): Primary 57M05, 57M10; Secondary 20E26, 57M50
- DOI: https://doi.org/10.1090/S0002-9939-2014-12031-4
- MathSciNet review: 3209342