English

Vanishing pairs of conjugacy classes for the symmetric group

Representation Theory 2025-05-16 v1

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.

Keywords

Cite

@article{arxiv.2505.10509,
  title  = {Vanishing pairs of conjugacy classes for the symmetric group},
  author = {Velmurugan S},
  journal= {arXiv preprint arXiv:2505.10509},
  year   = {2025}
}

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