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arXiv · 2304.10708

Harada's conjecture II for the finite general linear groups and unitary groups

Masahiro Sugimoto
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Abstract

K. Harada conjectured for any finite group $G$, the product of sizes of all conjugacy classes is divisible by the product of degrees of all irreducible characters. We study this conjecture when $G$ is the general linear group over a finite field. We show the conjecture holds if the order of the field is sufficiently large.

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Masahiro Sugimoto. 2023-04-21. Harada's conjecture II for the finite general linear groups and unitary groups. https://doi.org/10.22108/ijgt.2024.140888.1896

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