仅为交换群或幂零群幂群阶的数
Numbers which are only orders of abelian or nilpotent groups
摘要：
精炼结果的鄂尔多斯和梅斯，我们给渐近级数展开的功能$A(x)-C(x)$，计数的$n\leq x$的每一组的顺序$n$是阿贝尔（但不是所有循环），和$N(x)-A(x)$，计数的$n\leq x$的每一组的顺序$n$是幂零的（但不是所有阿贝尔）。
英文摘要：
Refining a result of Erdos and Mays, we give asymptotic series expansions for the functions $A(x)-C(x)$, the count of $n\leq x$ for which every group of order $n$ is abelian (but not all cyclic), and $N(x)-A(x)$, the count of $n\leq x$ for which every group of order $n$ is nilpotent (but not all abelian).
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