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2026-08-24 16:56 UTC · math.GR · math.GR

A Proof of the Isaacs_Navarro_Wolf Conjecture

Quanfu Yan, Jiping Zhang

An element of a finite group is non-vanishing if no irreducible complex character vanishes on it. We prove that every non-vanishing element of a finite solvable group belongs to the Fitting subgroup. The proof combines the reduction of Isaacs, Navarro, and Wolf with an argument using finite symplectic spaces and Clifford theory.
arXiv abstractPDF

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