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A characterization of some finite simple groups by their character codegrees https://arxiv.org/abs/2406.17794 #mathGR #mathRT

A characterization of some finite simple groups by their character codegrees

For a finite group $G$ and an irreducible complex character $χ$ of $G$, the codegree of $χ$ is defined by $\textrm{cod}(χ)=|G:\textrm{ker}(χ)|/χ(1)$, where $\textrm{ker}(χ)$ is the kernel of $χ$. 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.

arxiv.org
June 28, 2024 at 3:10 AM · · feed2toot · 0 · 0 · 0
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