Harada's conjecture II for the finite general linear groups and unitary groups
نویسندگان
1 Department of Mathematics, University of Tsukuba 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8577 Japan
doi
10.22108/ijgt.2024.140888.1896چکیده
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.
