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On Finite Groups with Some Semi Cover-Avoiding Subgroups 被引量:4

On Finite Groups with Some Semi Cover-Avoiding Subgroups
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摘要 A subgroup H of a finite group G is said to have the semi-cover-avoiding property in G if there is a chief series of G such that H covers or avoids every chief factor of the series. In this paper, some new results are obtained based on the assumption that some subgroups have the semi-cover-avoiding property in the group. A subgroup H of a finite group G is said to have the semi-cover-avoiding property in G if there is a chief series of G such that H covers or avoids every chief factor of the series. In this paper, some new results are obtained based on the assumption that some subgroups have the semi-cover-avoiding property in the group.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2007年第9期1689-1696,共8页 数学学报(英文版)
基金 the National Natural Science Foundation of China(10471085) the Shanghai Pujiang Program(05PJ14046) the Special Funds for Major Specialities of Shanghai Education Committee
关键词 semi-cover-avoidance property fitting subgroups supersolvable groups semi-cover-avoidance property, fitting subgroups, supersolvable groups
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参考文献1

  • 1CHU Xuelei, LI Xiaolin, XU Jiuhua and LIU Jianming1. The Research Center of Mineral Resources Exploration , Chinese Academy of Sciences , Beijing 100101, China ,2. Institute of Geology , Chinese Academy of Sciences , Beijing 100029, China ,3. Institute of High Energy Physics , Chinese Academy of Sciences , Beijing 100817 , China ,4. Beijing University of Science and Engineering , Beijing 100083, China Corresponding author.Patterns of platinum-group elements in mantle peridotite, granulite xenoliths and basalt in Hannuoba[J].Chinese Science Bulletin,1999,44(18):1676-1681. 被引量:10

二级参考文献16

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