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arXiv · 1912.07102

Fields generated by characters of finite linear groups

Madeline Locus Dawsey·Ken Ono·Ian Wagner
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Abstract

In previous work, the authors confirmed the speculation of J. G. Thompson that certain multiquadratic fields are generated by specified character values of sufficiently large alternating groups $A_n$. Here we address the natural generalization of this speculation to the finite general linear groups $\mathrm{GL}_m\left(\mathbb{F}_q\right)$ and $\mathrm{SL}_2\left(\mathbb{F}_q\right)$.

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Madeline Locus Dawsey, Ken Ono, Ian Wagner. 2019-12-15. Fields generated by characters of finite linear groups. https://arxiv.org/abs/1912.07102

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