Higher Congruences in Character Tables

Fuente: arXiv
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Main Authors: Harman, Nate, Mundinger, Joshua
Format: Preprint
Published: 2024
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_version_ 1866913351965081600
author Harman, Nate
Mundinger, Joshua
author_facet Harman, Nate
Mundinger, Joshua
contents Motivated by recent work of Peluse and Soundararajan on divisibility properties of the entries of the character tables of symmetric groups, we investigate the question: For a finite group G, when are two columns of the character table of G congruent to one another modulo a power of a prime?
format Preprint
id arxiv_https___arxiv_org_abs_2402_02312
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Higher Congruences in Character Tables
Harman, Nate
Mundinger, Joshua
Representation Theory
Combinatorics
Group Theory
Motivated by recent work of Peluse and Soundararajan on divisibility properties of the entries of the character tables of symmetric groups, we investigate the question: For a finite group G, when are two columns of the character table of G congruent to one another modulo a power of a prime?
title Higher Congruences in Character Tables
topic Representation Theory
Combinatorics
Group Theory
url https://arxiv.org/abs/2402.02312