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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On a theorem of Peter Scott


Author: Priyam Patel
Journal: Proc. Amer. Math. Soc. 142 (2014), 2891-2906
MSC (2010): Primary 57M05, 57M10; Secondary 20E26, 57M50
Published electronically: April 18, 2014
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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.


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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

DOI: http://dx.doi.org/10.1090/S0002-9939-2014-12031-4
PII: S 0002-9939(2014)12031-4
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
Article copyright: © Copyright 2014 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.