Abstract

If χ 1 , χ 2 , χ 3 {\chi _1},{\chi _2},{\chi _3} are irreducible characters of a finite group G G satisfying ∫ G χ 1 χ 2 χ 3 ≠ 0 \int _G {{\chi _1}{\chi _2}{\chi _3} \ne 0} and σ \sigma is an involution in G G , then the proportions of − 1 - 1 ’s among the eigenvalues of the corresponding representations at σ \sigma are the sides of a triangle on a sphere of circumference 2 2 .

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