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Proceedings of the American Mathematical Society Series B

Published by the American Mathematical Society since 2014, this gold open access, electronic-only journal is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 2330-1511

The 2020 MCQ for Proceedings of the American Mathematical Society Series B is 0.95.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Automorphisms of the loop and arc graph of an infinite-type surface
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by Anschel Schaffer-Cohen HTML | PDF
Proc. Amer. Math. Soc. Ser. B 9 (2022), 230-240


We show that the extended based mapping class group of an infinite-type surface is naturally isomorphic to the automorphism group of the loop graph of that surface. Additionally, we show that the extended mapping class group stabilizing a finite set of punctures is isomorphic to the arc graph relative to that finite set of punctures. This extends a known result for sufficiently complex finite-type surfaces, and provides a new angle from which to study the mapping class groups of infinite-type surfaces.
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Additional Information
  • Anschel Schaffer-Cohen
  • Affiliation: Department of Mathematics, University of Pennsylvania, Philadelphia, Pennsylvania 19104
  • MR Author ID: 1303454
  • ORCID: 0000-0003-4885-258X
  • Email:
  • Received by editor(s): December 17, 2019
  • Received by editor(s) in revised form: February 16, 2021
  • Published electronically: April 29, 2022

  • Dedicated: For Carlos
  • Communicated by: Kenneth Bromberg
  • © Copyright 2022 by the author under Creative Commons Attribution-NonCommercial 3.0 License (CC BY NC 3.0)
  • Journal: Proc. Amer. Math. Soc. Ser. B 9 (2022), 230-240
  • MSC (2020): Primary 57K20, 20F65; Secondary 05C25
  • DOI:
  • MathSciNet review: 4414904