Chillag表和的上界和下界
Upper and lower bounds on Chillag table sums
摘要：
Chillag已经表明，有一个单一的推广表明，普通字符表，布劳尔字符，和投射不可分解字符的总和是正整数。我们表明，Chillag的建设也适用于艾萨克斯的$π$ -部分字符。我们证明，如果一个额外的条件是假定的，那么我们可以得到上界和下界的Chillag的表和。我们将证明这个条件适用于Brauer字符，$π$ -部分字符和投射不可分解字符，因此我们获得了在这些情况下表和的上界和下界。我们还得到的结果，在这些表中的行和列的总和。
英文摘要：
Chillag has showed that there is a single generalization showing that the sums of ordinary character tables, Brauer character, and projective indecomposable characters are positive integers. We show that Chillag's construction also applies to Isaacs' $π$-partial characters. We show that if an extra condition is assumed, then we can obtain upper and lower bounds on the Chillag's table sums. We will demonstrate that this condition holds for Brauer characters, $π$-partial characters, and projective indecomposable characters, and so we obtain upper and lower bounds for the table sums in those cases. We also obtain results regarding the sums of rows and columns in these tables.
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