On Weakly Normal Subgroups of a Finite Group  被引量:1

On Weakly Normal Subgroups of a Finite Group

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作  者:Yong Xu Xinjian Zhang Tao Zhao 

机构地区:[1]School of Mathematics and Statistics Henan University of Science and Technology, Luoyang, Henan 471023, China [2]School of Mathematics, Huaiyin Normal University Huaian, Jiangsu 223300, China [3]School of Science, Shandong University of Technology Zibo, Shandong 255049, China

出  处:《Algebra Colloquium》2014年第3期527-533,共7页代数集刊(英文版)

基  金:This work was supported by the National Natural Science Foundation of China (Grant No. 11171243, 11326056) and the Scientific Research Foundation for Doctors, Henan University of Science and Technology (No. 09001610).

摘  要:A subgroup H of a group G is said to be weakly normal in G if Hg ≤ NG(H) implies that g E NG(H). In this paper, using the condition that the minimal subgroups or subgroups of prime square order of G are weakly normal in G, we get some results about formation.A subgroup H of a group G is said to be weakly normal in G if Hg ≤ NG(H) implies that g E NG(H). In this paper, using the condition that the minimal subgroups or subgroups of prime square order of G are weakly normal in G, we get some results about formation.

关 键 词:FORMATION weakly normal subgroup F-hypercentral 

分 类 号:O152.1[理学—数学]

 

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