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arXiv 2004-10-27 0 views

Squares of characters and finite groups

Adan-Bante, Edith

Original · EN

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

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