对于对称群,character值为零的概率
The probability that a character value is zero for the symmetric group
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.
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