| 有一个指数为$p^3$的循环子群的有限$p$群 |
| |
| 引用本文： | 张勤海,李璞金.有一个指数为$p^3$的循环子群的有限$p$群[J].数学研究及应用,2012,32(5):505-529. |
| |
| 作者姓名： | 张勤海 李璞金 |
| |
| 作者单位： | 山西师范大学数学与计算机科学学院, 山西 临汾 041004;山西师范大学数学与计算机科学学院, 山西 临汾 041004 |
| |
| 基金项目： | 国家自然科学基金(Grant No.11071150),山西省自然科学基金(Grant No.2012011001-3),山西省回国留学人员科研项目(Grant No.[2011]8-59). |
| |
| 摘 要： | We classify up to isomorphism those finite p-groups,for odd primes p,which contain a cyclic subgroup of index p3.
|
| 关 键 词： | finite p-groups inner abelian p-groups metacyclic p-groups regular p-groups irregular p-groups. |
| 收稿时间： | 2011/1/20 0:00:00 |
| 修稿时间： | 2011/4/25 0:00:00 |
Finite $p$-Groups with a Cyclic Subgroup of Index $p^3$ |
| |
| Qinhai ZHANG and Pujin LI.Finite $p$-Groups with a Cyclic Subgroup of Index $p^3$[J].Journal of Mathematical Research with Applications,2012,32(5):505-529. |
| |
| Authors: | Qinhai ZHANG and Pujin LI |
| |
| Institution: | Department of Mathematics, Shanxi Normal University, Shanxi 041004, P. R. China;Department of Mathematics, Shanxi Normal University, Shanxi 041004, P. R. China |
| |
| Abstract: | We classify up to isomorphism those finite $p$-groups, for odd primes $p$, which contain a cyclic subgroup of index $p^3$. |
| |
| Keywords: | finite $p$-groups inner abelian $p$-groups metacyclic $p$-groups regular $p$-groups irregular $p$-groups |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
| 点击此处可从《数学研究及应用》下载免费的PDF全文 |
