论文标题
基数的牙套的分类$ P^4 $
Classification of braces of cardinality $p^4$
论文作者
论文摘要
我们对基数$ p^4 $的Nilpotent Pre-lie戒指进行了分类，从而将相同的基数括起来，对于足够大的Prime $ p $。已经表明，对于足够大的$ p $，基数$ p^n $的nilpotent pre lie戒指对应于同一基数的强烈nilpotent牙套。这些牙套是通过构造流量组明确从相应的前环获得的。不正确的基础牙齿的基础$ p^4 $已被分类，因此我们的结果完成了心脏牙套的分类$ p^4 $。
We classify nilpotent pre-Lie rings of cardinality $p^4$ and thereby braces of the same cardinality, for a sufficiently large prime $p$. It has been shown that nilpotent pre-Lie rings of cardinality $p^n$ correspond to strongly nilpotent braces of the same cardinality, for sufficiently large $p$. These braces are explicitly obtained from the corresponding pre-Lie rings by the construction of the group of flows. Not right nilpotent braces of cardinality $p^4$ have been classified, hence our results finish the classification of braces of cardinality $p^4$.
