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

The probability that a character value is zero for the symmetric group
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对称群的字符值为零的概率

DOI:
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发表时间:
2013
期刊:
影响因子:
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通讯作者:
A. Miller
A. Miller
中科院分区:
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文献类型:
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作者:
A. Miller

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我们考虑 n 个符号上对称群的随机字符值 X(g),其中 X 是从不可约字符集中随机选择的,g 是从该组中随机选择的,并且我们证明 X(g)=0,当 n 趋于无穷大时,概率趋于 1。
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.