harada’s conjecture ii for the finite general linear groups and unitary groups
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نویسنده
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sugimoto masahiro
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منبع
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international journal of group theory - 2025 - دوره : 14 - شماره : 4 - صفحه:285 -296
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چکیده
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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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کلیدواژه
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irreducible character ,conjugacy classes ,partitions
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آدرس
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university of tsukuba 1-1-1 tennodai, department of mathematics, japan
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پست الکترونیکی
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sugimoto-m@math.tsukuba.ac.jp
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