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arXiv 1306.1219math.GRmath.COmath.PR
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对于对称群,character值为零的概率

The probability that a character value is zero for the symmetric group

Alexander R. Miller

摘要:

我们考虑n个符号上的对称群的随机特征标值X(g),其中X是从不可约特征标集中随机选取的,g是从群中随机选取的,并且我们证明了X(g)=0且当n趋于无穷大时概率趋于1.

英文摘要:

We consider random character values X(g) of the symmetric group on n symbols, where X is chosen at random from the set of irreducible characters and g is chosen at random from the group, and we show that X(g)=0 with probability tending to one as n tends to infinity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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