有一个指数为$p^3$的循环子群的有限$p$群

Finite $p$-Groups with a Cyclic Subgroup of Index $p^3$

中文关键词:  有限$p$群  内交换$p$群  亚循环$p$群  正则$p$群  非正则$p$群.

英文关键词:finite $p$-groups  inner abelian $p$-groups  \ \ metacyclic $p$-groups  regular $p$-groups  irregular $p$-groups.

中文摘要:

      本文给出了有一个指数为$p^3$的循环子群的有限$p$群的分类, $p$为奇素数.

英文摘要:

      We classify up to isomorphism those finite $p$-groups, for odd primes $p$, which contain a cyclic subgroup of index $p^3$.