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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Hidden symmetries via hidden extensions
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by Eric Chesebro and Jason DeBlois PDF
Proc. Amer. Math. Soc. 145 (2017), 3629-3644 Request permission

Abstract:

This paper introduces a new approach to finding knots and links with hidden symmetries using “hidden extensions”, a class of hidden symmetries defined here. We exhibit a family of tangle complements in the ball whose boundaries have symmetries with hidden extensions; then we further extend these to hidden symmetries of some hyperbolic link complements.
References
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Additional Information
  • Eric Chesebro
  • Affiliation: Department of Mathematical Sciences, University of Montana, 32 Campus Drive #0864, Missoula, Montana 59812-0864
  • MR Author ID: 758655
  • Email: Eric.Chesebro@mso.umt.edu
  • Jason DeBlois
  • Affiliation: Department of Mathematics, University of Pittsburgh, 301 Thackeray Hall, Pittsburgh, Pennsyvania 15260
  • MR Author ID: 785234
  • Email: jdeblois@pitt.edu
  • Received by editor(s): January 10, 2015
  • Received by editor(s) in revised form: July 27, 2016, and September 20, 2016
  • Published electronically: March 23, 2017
  • Communicated by: Kevin Whyte
  • © Copyright 2017 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 145 (2017), 3629-3644
  • MSC (2010): Primary 57M10; Secondary 22E40, 57M25
  • DOI: https://doi.org/10.1090/proc/13486
  • MathSciNet review: 3652814