Finite 2-generator equilibrated p-groups  

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

机构地区：[1]School of Mathematics and Computer Sciences,Shanxi Normal University,Linfen 041004,China

出　　处：《Science China Mathematics》2007年第6期814-820,共7页中国科学：数学（英文版）

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)

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.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.

关 键 词：equilibrated group metacyclic group finite p-group minimal non-abelian group 20D15 

分 类 号：O152.1[理学—数学]