detecting the prime divisors of the character degrees and the class sizes by a subgroup generated with few elements
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نویسنده
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lucchini andrea
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منبع
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international journal of group theory - 2018 - دوره : 7 - شماره : 1 - صفحه:17 -21
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چکیده
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We prove that every finite group g contains a three-generated subgroup h with the following property: a prime p divides the degree of an irreducible character of g if and only if it divides the degree of an irreducible character of h. there is no analogous result for the prime divisors of the sizes of the conjugacy classes.
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کلیدواژه
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character degrees; class sizes.
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آدرس
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university of padovauniversity of padova, dipartimento di matematica, italy
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پست الکترونیکی
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lucchini@math.unipd.it
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