Degrees, class sizes and divisors of character values
Degrees, class sizes and divisors of character values
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学位、班级规模和字符值的除数
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
P. Gallagher
中科院分区：
文献类型：
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作者：
P. Gallagher
抽象。在有限群的特征标表中，特征标的度有除共轭类大小的趋势，或者特征标的值有为零的趋势。还有一个部分整除性，其中字符的行列式不为1。有版本的这些取决于一个子群，根据算术性质的球函数，概括的完整性的价值观的字符和中心字符。
Abstract. In the character table of a finite group there is a tendency either for the character degree to divide the conjugacy class size or the character value to vanish. There is also a partial divisibility where the determinant of the character is not 1. There are versions of these depending on a subgroup, based on an arithmetic property of spherical functions which generalizes the integrality of the values of the characters and the central characters.