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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Some stable plethysms
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by Stacey Law and Yuji Okitani;
Proc. Amer. Math. Soc. 151 (2023), 4557-4564
DOI: https://doi.org/10.1090/proc/16556
Published electronically: August 18, 2023

Abstract:

In this note, we prove some new stability results for plethysm coefficients. As special cases, we verify a conjecture of Wildon, and show the stability of sequences recently predicted by Bessenrodt, Bowman and Paget [Trans. Amer. Math. Soc. 375 (2022), pp. 5151โ€“5194] to be weakly increasing.
References
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Bibliographic Information
  • Stacey Law
  • Affiliation: Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Cambridge CB3 0WB, United Kingdom
  • MR Author ID: 1268279
  • ORCID: 0000-0001-7936-0938
  • Email: swcl2@cam.ac.uk
  • Yuji Okitani
  • Affiliation: Department of Mathematics, University of California, Berkeley, California 94720
  • ORCID: 0009-0006-7415-1217
  • Email: yuji_okitani@berkeley.edu
  • Received by editor(s): September 28, 2022
  • Published electronically: August 18, 2023
  • Communicated by: Martin Liebeck
  • © Copyright 2023 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 151 (2023), 4557-4564
  • MSC (2020): Primary 05E05, 05E10
  • DOI: https://doi.org/10.1090/proc/16556
  • MathSciNet review: 4634863