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)

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Parity in columns of the character table of $\mathbf {S_n}$
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by David Gluck
Proc. Amer. Math. Soc. 147 (2019), 1005-1011
DOI: https://doi.org/10.1090/proc/14300
Published electronically: November 13, 2018

Abstract:

We show that the proportion of odd entries in many columns of the character table of $S_n$ is at most $2^{-\sqrt n}$, for $n$ sufficiently large.
References
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Bibliographic Information
  • David Gluck
  • Affiliation: Department of Mathematics, Wayne State University, Detroit, Michigan 48202
  • Email: dgluck@math.wayne.edu
  • Received by editor(s): April 13, 2018
  • Received by editor(s) in revised form: June 16, 2018
  • Published electronically: November 13, 2018

  • Dedicated: To the memory of Kay Magaard
  • Communicated by: Pham Huu Tiep
  • © Copyright 2018 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 147 (2019), 1005-1011
  • MSC (2010): Primary 20C30, 11P82
  • DOI: https://doi.org/10.1090/proc/14300
  • MathSciNet review: 3896051