Finite 2-generator equilibrated p-groups

被引:0
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作者
Qin-hai Zhang
Cui-juan Sun
Hai-peng Qu
Ming-yao Xu
机构
[1] Shanxi Normal University,School of Mathematics and Computer Sciences
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关键词
equilibrated group; metacyclic group; finite ; -group; minimal non-abelian group; 20D15;
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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.
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页码:814 / 820
页数:6
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