On the character tables of symmetric groups

2018/08/18 by Kamon Kawsathon, Kawsathon, Kamon, Kijti Rodtes +1
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1808.06097

openalex publication_date 2018/08/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, some zeros and non-zeros in the character tables of symmetric groups are displayed in the partition forms. In particular, more zeros of self conjugate partitions beside odd permutations are heavily investigated.

Related

• Lower Bound for The Number of Zeros in The Character Table of The Symmetric Group
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• Labelling the character tables of symmetric and alternating groups
• Congruences in character tables of symmetric groups