山西省自然科学基金(2013011001-1)

作品数：3被引量：11H指数：2
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Finite p-Groups and Normal Closures of Nonnormal Subgroups被引量：1
《Journal of Mathematical Research with Applications》2015年第5期521-528,共8页Junqiang ZHANG Ruijiao LU Wentian LI 
Supported by the National Natural Science Foundation of China(Grant Nos.11371232;11226048;11401355);the Natural Science Foundation of Shanxi Province(Grant No.2013011001-1)
In this paper,finite p-groups G with G/HGbeing cyclic for every minimal nonnormal subgroup H are classified up to isomorphism,where HGdenotes the normal closure of H.
关键词：subgroup closure contradiction nonempty isomorphic maximal intersection classified proof argument 
Finite p-groups with a minimal non-abelian subgroup of index p(Ⅲ)被引量：7
《Science China Mathematics》2015年第4期763-780,共18页QU HaiPeng XU MingYao AN LiJian 
supported by National Natural Science Foundation of China(Grant No.11371232);Natural Science Foundation of Shanxi Province(Grant Nos.2012011001-3 and 2013011001-1)
This paper finishes the classification of three-generator finite p-groups G such that Φ(G) Z(G).This paper is a part of classification of finite p-groups with a minimal non-abelian subgroup of index p, and partly sol...
关键词：characteristic matrix At-groups CONGRUENT sub-congruent quasi-congruent 
Finite p-groups with a minimal non-abelian subgroup of index p(Ⅱ)被引量：10
《Science China Mathematics》2014年第4期737-753,共17页AN LiJian LI LiLi QU HaiPeng ZHANG QinHai 
supported by National Natural Science Foundation of China (Grant No. 11371232);Natural Science Foundation of Shanxi Province (Grant Nos. 2012011001-3 and 2013011001-1)
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 ...
关键词：minimal non-abelian p-groups At-groups congruent relation sub-congruent relation 
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