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.
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)
