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arXiv · 1909.09642

Zeros of primitive characters of finite groups

Sesuai Y. Madanha
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Abstract

We classify finite non-solvable groups with a faithful primitive irreducible complex character that vanishes on a unique conjugacy class. Our results answer a question of Dixon and Rahnamai Barghi and suggest an extension of Burnside's classical theorem on zeros of characters.

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Sesuai Y. Madanha. 2019-09-20. Zeros of primitive characters of finite groups. https://doi.org/10.1515/jgth-2019-2051

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