Divisibility of character values of the symmetric group by prime powers

被引：0

作者：

Peluse, Sarah ^{[1
]}

Soundararajan, Kannan ^{[1
]}

机构：

[1] Stanford Univ, Dept Math, Stanford, CA 94305 USA

来源：

ALGEBRA & NUMBER THEORY | 2025年 / 19卷 / 02期

基金：

美国国家科学基金会;

关键词：

character table; symmetric group; divisibility;

D O I：

10.2140/ant.2025.19.365

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let k be a positive integer. We show that, as n goes to infinity, almost every entry of the character table of Sn is divisible by k. This proves a conjecture of Miller.

引用

页码：365 / 382

页数：21

共 19 条

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