arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2007.06652math.COmath.NTmath.RT
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关于对称群的character表中的偶数项

On even entries in the character table of the symmetric group

Sarah Peluse

摘要:

我们证明了在$S_n$的特征表中几乎每个条目都是偶数的$n\to\infty$。这解决了米勒的一个猜想。我们同样证明了几乎每一个条目中的字符表的$S_n$是零模$3,5,7,11,$和$13$作为$n\to\infty$,部分解决另一个猜想米勒。

英文摘要:

We show that almost every entry in the character table of $S_n$ is even as $n\to\infty$. This resolves a conjecture of Miller. We similarly prove that almost every entry in the character table of $S_n$ is zero modulo $3,5,7,11,$ and $13$ as $n\to\infty$, partially addressing another conjecture of Miller.

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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