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《Journal of Wuyi University(Natural Science Edition)》 2013-01
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Finite Groups with Some Weakly s-Permutable Subgroups

ZHONG Guo,MA Xuan-long,JIN Jian-xing(School of Mathematical Science,Guangxi Teachers Education University,Nanning 530023,China)  
A subgroup H of a finite group G is called s-permutable in G if for each Sylow P-subgroup of G could be permutable with H.A subgroup H of a group G is considered to be weakly S-permutable in G if there exists a subnormal subgroup K of G such that G=HT and H∩T≤HsG,where HsG is the largest S-permutable subgroup of G contained in H.Based on the concept of weakly S-permutable subgroups,some new results about the weakly S-permutable subgroups are obtained by studying the structure of P-nilpotent groups.
【Fund】: 国家自然科学基金资助项目(No.10961007 11161006);; 广西自然科学基金资助项目(0991101 0991102);; 广西教育厅科研基金资助项目;; 广西高校人才资助计划(5070)
【CateGory Index】: O152.1
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