2 papers
math.RT2025
The character degree product and the conjugacy length product for finite general linear groups
Akihiko Hida, Masahiro Sugimoto
Let be a finite group. K. Harada conjectured that the product of degrees of all irreducible characters of divides the product of lengths of all conjugacy classes of . We…
math.GR2023
Harada's conjecture II for the finite general linear groups and unitary groups
Masahiro Sugimoto
K. Harada conjectured for any finite group , the product of sizes of all conjugacy classes is divisible by the product of degrees of all irreducible characters. We study this co…