Almost all entries in the character table of the symmetric group are multiples of any given prime-Reference-Cited by-同舟云学术

Almost all entries in the character table of the symmetric group are multiples of any given prime

Published:2022-03-25 Issue:786 Volume:2022 Page:45-53
ISSN:0075-4102
Container-title:Journal für die reine und angewandte Mathematik (Crelles Journal)
language:en
Short-container-title:

Author:

Peluse Sarah¹,Soundararajan Kannan²

Affiliation:

1. School of Mathematics , Institute for Advanced Study ; and Department of Mathematics, Princeton University , Princeton , NJ 08540 , USA

2. Department of Mathematics , Stanford University , Stanford , CA 94305 , USA

Abstract

Abstract We show that almost every entry in the character table of S N

{S_{N}}

is divisible by any fixed prime as N → ∞

{N\to\infty}

. This proves a conjecture of Miller.

Funder

National Science Foundation

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

Reference16 articles.

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4. W. Fulton and J. Harris, Representation theory. A first course, Readings in mathematics, Grad. Texts in Math. 129, Springer, New York 1991.

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