Vanishing pairs of conjugacy classes for the symmetric group

In this paper, we classify pairs of conjugacy classes of the symmetric group such that any nonlinear irreducible character of the symmetric group vanishes on at least one of them.

Authors

S. Velmurugan (ORCID: https://orcid.org/0009-0001-9073-2031)

Institutions

Homi Bhabha National Institute (IN)
Institute of Mathematical Sciences (IN)

Publication Details

Journal: Journal of Algebra and Its Applications
Published: 2025-11-20
DOI: https://doi.org/10.1142/s0219498827500964
Primary Topic: Finite Group Theory Research
Type: article
Field-Weighted Citation Impact: 0.00

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article

Vanishing pairs of conjugacy classes for the symmetric group

S. Velmurugan

Nov 20, 2025

Journal of Algebra and Its Applications

Finite Group Theory Research

article

Vanishing pairs of conjugacy classes for the symmetric group

S. Velmurugan

November 20, 2025article en

Abstract

In this paper, we classify pairs of conjugacy classes of the symmetric group such that any nonlinear irreducible character of the symmetric group vanishes on at least one of them.

Journal of Algebra and Its Applications

Homi Bhabha National Institute (IN), Institute of Mathematical Sciences (IN)

Openalex Percentile: Top 57%

Finite Group Theory Research

DOI Source OpenAlex

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Vanishing pairs of conjugacy classes for the symmetric group — S. Velmurugan · Journal of Algebra and Its Applications (2025) | TGRS Research Map | TGRS