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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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Degrees of irreducible characters of the symmetric group and exponential growth
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by Antonio Giambruno and Sergey Mishchenko PDF
Proc. Amer. Math. Soc. 144 (2016), 943-953 Request permission

Abstract:

We consider sequences of degrees of ordinary irreducible $S_n$- characters. We assume that the corresponding Young diagrams have rows and columns bounded by some linear function of $n$ with leading coefficient less than one. We show that any such sequence has at least exponential growth and we compute an explicit bound.
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Additional Information
  • Antonio Giambruno
  • Affiliation: Dipartimento di Matematica e Informatica, Università di Palermo, Via Archirafi 34, 90123 Palermo, Italy
  • MR Author ID: 73185
  • ORCID: 0000-0002-3422-2539
  • Email: antonio.giambruno@unipa.it
  • Sergey Mishchenko
  • Affiliation: Department of Algebra and Geometric Computations, Ulyanovsk State University, Ulyanovsk 432017, Russia
  • MR Author ID: 189236
  • Email: mishchenkosp@mail.ru
  • Received by editor(s): June 6, 2014
  • Received by editor(s) in revised form: February 5, 2015
  • Published electronically: October 6, 2015
  • Communicated by: Patricia Hersh
  • © Copyright 2015 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 144 (2016), 943-953
  • MSC (2010): Primary 20C30, 05A17
  • DOI: https://doi.org/10.1090/proc/12758
  • MathSciNet review: 3447648