Zeros of primitive characters of finite groups

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De Gruyter

Abstract

We classify finite non-solvable groups with a faithful primitive complex irreducible 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.

Description

This work will form part of the author’s PhD thesis. (http://hdl.handle.net/2263/70706)

Keywords

Primitive characters, Zeros of characters, Burnside’s theorem, Character degrees

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Citation

Madanha, S.Y. 2020, 'Zeros of primitive characters of finite groups', Journal of Group Theory, vol. 23, no. 2, pp. 193-216.