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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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Lower bounds on cubical dimensionof $C’(1/6)$ groups
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by Kasia Jankiewicz PDF
Proc. Amer. Math. Soc. 148 (2020), 3293-3306 Request permission

Abstract:

For each $n$ we construct examples of finitely presented $C’(1/6)$ small cancellation groups that do not act properly on any $n$-dimensionalCAT(0) cube complex.
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Additional Information
  • Kasia Jankiewicz
  • Affiliation: Department of Mathematics, University of Chicago, Chicago, Illinois 60637
  • MR Author ID: 1148637
  • Email: kasia@math.uchicago.edu
  • Received by editor(s): July 26, 2019
  • Received by editor(s) in revised form: November 13, 2019, and December 24, 2019
  • Published electronically: May 8, 2020
  • Additional Notes: The author was partially supported by (Polish) Narodowe Centrum Nauki, grant no. UMO-2015/18/M/ST1/00050.
  • Communicated by: David Futer
  • © Copyright 2020 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 148 (2020), 3293-3306
  • MSC (2010): Primary 20F65, 20F67
  • DOI: https://doi.org/10.1090/proc/15013
  • MathSciNet review: 4108839