| Finite 2-generator equilibrated p-groups |
| |
| 作者姓名： | Qin-hai ZHANG Cui-juan SUN Hai-peng QU & Ming-yao XU School of Mathematics and Computer Sciences Shanxi Normal University Linfen China |
| |
| 作者单位： | Qin-hai ZHANG，Cui-juan SUN，Hai-peng QU & Ming-yao XU School of Mathematics and Computer Sciences，Shanxi Normal University，Linfen 041004，China |
| |
| 基金项目： | 国家自然科学基金;山西省自然科学基金 |
| |
| 摘 要： | Following Blackburn, Deaconescu and Mann, a group G is called an equilibrated group if for any subgroups H,K of G with HK = KH, either H≤NG(K) or K≤NG(H). Continuing their work and based on the classification of metacyclic p-groups given by Newman and Xu, we give a complete classification of 2-generator equilibrated p-groups in this note.
|
Finite 2-generator equilibrated <Emphasis Type="Italic">p</Emphasis>-groups |
| |
| Qin-hai ZHANG,Cui-juan SUN,Hai-peng QU & Ming-yao XU School of Mathematics and Computer Sciences,Shanxi Normal University,Linfen ,China.Finite 2-generator equilibrated p-groups[J].Science in China(Mathematics),2007,50(6):814-820. |
| |
| Authors: | Qin-hai Zhang Cui-juan Sun Hai-peng Qu Ming-yao Xu |
| |
| Institution: | School of Mathematics and Computer Sciences, Shanxi Normal University, Linfen 041004, China |
| |
| Abstract: | Following Blackburn, Deaconescu and Mann, a group G is called an equilibrated group if for any subgroups H, K of G with HK = KH, either H ⩽ N
G(K) or K ⩽ N
G(H). Continuing their work and based on the classification of metacyclic p-groups given by Newman and Xu, we give a complete classification of 2-generator equilibrated p-groups in this note.
This work was partially supported by the National Natural Science Foundation of China (Grant No. 10671114) and the Natural
Science Foundation of Shanxi Province (Grant No. 20051007) |
| |
| Keywords: | equilibrated group metacyclic group finite p-group minimal non-abelian group |
| 本文献已被 CNKI 万方数据 SpringerLink 等数据库收录！ |
