Finite 2-generator equilibrated p-groups

被引：1
|
作者：
Zhang, Qin-Hai [1 ]
Sun, Cui-Juan [1 ]
Qu, Hai-Peng [1 ]
Xu, Ming-Yao [1 ]
机构：
[1] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Peoples R China
来源：
SCIENCE IN CHINA SERIES A-MATHEMATICS | 2007年 / 50卷 / 06期
基金：
中国国家自然科学基金;
关键词：
equilibrated group; metacyclic group; finite p-group; minimal non-abelian group;
D O I：
10.1007/s11425-007-0038-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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 <= 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.
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页码：814 / 820
页数：7
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