Squares of characters and finite groups

2004/10/27 by Edith Adan-Bante, Adan-Bante, Edith
Computer Science · Engineering · Mathematics · #20 c #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #graph theory and CDMA systems #math.GR #msc:20

paper · pdf · doi:10.48550/arxiv.math/0410582

5 pages, corrected typos, added result

openalex publication_date 2004/10/27 · arxiv created 2005/08/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let G be a group of odd order and χ be a complex irreducible character. Then there exists a unique character χ⁽²⁾∈\Irr(G) such that [χ²,χ⁽²⁾] is odd. Also, there exists a unique character ψ∈ \Irr(G) such that [ψ², χ] is odd.

Related

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