奇阶亚循环p群的各阶子群计数

The number of subgroups of metacyclic groups of prime-power order

p群计数问题是有限p群研究的重要内容之一。关于有限群的各种类型子群,元素或子集的个数是p群计数问题的重要方面。本文得到了奇阶亚循环群的各阶子群个数。

Counting problem is one of the important research contents in finite group of prime-power order. Counting various types of subgroups, elements and the subset is the significant aspect of the problem. This paper gets the number of subgroups of metacyclic groups of prime-power order.