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arXiv · 2608.23495

A Proof of the Isaacs_Navarro_Wolf Conjecture

Quanfu Yan·Jiping Zhang
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Abstract

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.

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Quanfu Yan, Jiping Zhang. 2026-08-24. A Proof of the Isaacs_Navarro_Wolf Conjecture. https://arxiv.org/abs/2608.23495

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