| Finite p-groups with a minimal non-abelian subgroup of index p(Ⅱ) |
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| 作者姓名： | AN LiJian LI LiLi QU HaiPeng ZHANG QinHai |
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| 作者单位： | School of Mathematics and Computation Science,Shanxi Normal University;School of Mathematics and Computation Science,Zhanjiang Normal University |
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| 基金项目： | supported by National Natural Science Foundation of China (Grant No. 11371232);Natural Science Foundation of Shanxi Province (Grant Nos. 2012011001-3 and 2013011001-1) |
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| 摘 要： | We classify completely three-generator finite p-groups G such that Ф(G)≤Z(G)and|G′|≤p2.This paper is a part of the classification of finite p-groups with a minimal non-abelian subgroup of index p,and solve partly a problem proposed by Berkovich.
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| 关 键 词： | minimal non-abelian p-groups At-groups congruent relation sub-congruent relation |
Finite p-groups with a minimal non-abelian subgroup of index p (II) |
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| AN LiJian,LI LiLi,QU HaiPeng,ZHANG QinHai.Finite p-groups with a minimal non-abelian subgroup of index p (II)[J].中国科学 数学(英文版),2014,57(4):737-753. |
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| Authors: | LiJian An LiLi Li HaiPeng Qu QinHai Zhang |
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| Institution: | 1. School of Mathematics and Computation Science, Shanxi Normal University, Linfen, 041004, China
2. School of Mathematics and Computation Science, Zhanjiang Normal University, Zhanjiang, 524048, China
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| Abstract: | We classify completely three-generator finite p-groups G such that Φ(G) ? Z(G) and |G′| ? p 2. This paper is a part of the classification of finite p-groups with a minimal non-abelian subgroup of index p, and solve partly a problem proposed by Berkovich. |
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| Keywords: | minimal non-abelian p-groups At-groups congruent relation sub-congruent relation |
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