Finite 2-generator equilibrated p-groups

作     者：Qin-hai ZHANG Cui-juan SUN Hai-peng QU Ming-yao XU 

作者机构：School of Mathematics and Computer SciencesShanxi Normal UniversityLinfen 041004China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2007年第50卷第6期

页      面：814-820页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：This work was partially supported by the National Natural Science Foundation of China (Grant No. 10671114) the Natural Science Foundation of Shanxi Province (Grant No. 20051007) 

主　　题：equilibrated group metacyclic group finite p-group minimal non-abelian group 20D15 

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.