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

Sarah Peluse; Kannan Soundararajan

doi:10.1515/crelle-2022-0004

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

Sarah Peluse, Kannan Soundararajan

Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We show that almost every entry in the character table of SN is divisible by any fixed prime as N → ∞. This proves a conjecture of Miller.

Original language	English (US)
Pages (from-to)	45-53
Number of pages	9
Journal	Journal fur die Reine und Angewandte Mathematik
Volume	2022
Issue number	786
DOIs	https://doi.org/10.1515/crelle-2022-0004
State	Published - May 1 2022

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1515/crelle-2022-0004

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title = "Almost all entries in the character table of the symmetric group are multiples of any given prime",

abstract = "We show that almost every entry in the character table of SN is divisible by any fixed prime as N → ∞. This proves a conjecture of Miller.",

author = "Sarah Peluse and Kannan Soundararajan",

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

Abstract

All Science Journal Classification (ASJC) codes

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