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On Nearly SS-Embedded Subgroups of Finite Groups 被引量:2

On Nearly SS-Embedded Subgroups of Finite Groups
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摘要 Abstract Let H be a subgroup of a finite group G. H is nearly SS-embedded in G if there exists an S-quasinormal subgroup K of G, such that HK is S-quasinormal in G and H∩ K≤HseG, where HseG is the subgroup of H, generated by all those subgroups of H which are S-quasinormally embedded in G. In this paper, the authors investigate the influence of nearly SS-embedded subgroups on the structure of finite groups.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2014年第6期885-894,共10页 数学年刊(B辑英文版)
基金 supported by the National Natural Science Foundation of China(No.11371335) the international joint research fund between NSFC and RFBR(No.11211120148) the Research Fund for the Doctoral Program of Higher Education of China(No.20113402110036)
关键词 S-quasinormal subgroup Nearly SS-embedded subgroup Sylow sub-group p-nilpotent group Supersolvable group S-拟正规子群 嵌入式 有限群 群结构
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