June 11, 2024Open Access

A characterization of some finite simple groups by their character codegrees

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Abstract

For a finite group G and an irreducible complex character of G, the codegree of is defined by cod () =|G: ker () |/ (1), where ker () is the kernel of. In this paper, we show that if H is a finite simple exceptional group of Lie type or a projective special linear group and G is any finite group such that the character codegree sets of G and H coincide, then G and H are isomorphic.

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Hung P. Tong‐Viet (Tue,) studied this question.

synapsesocial.com/papers/68e65555b6db6435875e4c7a https://doi.org/https://doi.org/10.48550/arxiv.2406.17794

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