Vanishing pairs of conjugacy classes for the symmetric group

2025/05/15 by S. Velmurugan, S, Velmurugan
Mathematics · #20C15 #20C30 #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2505.10509

openalex publication_date 2025/05/15 · openalex created_date 2025/10/15 · openalex updated_date 2026/07/28

Abstract

In this short note, we classify pairs of conjugacy classes of the symmetric group such that any non-linear irreducible character of the symmetric group vanishes on at least one of them.

Citations

• On common zeros of characters of finite groups

Related

• Sign conjugacy classes in symmetric groups
• On vanishing criteria that control finite group structure
• Symmetric groups and conjugacy classes
• On common zeros of characters of finite groups
• On conjugacy classes of S_n containing all irreducibles