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《Basic Sciences Journal of Textile Universities》 2006-02
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On some sufficent condition of p-solvable of finite groups

XU Ying-wu~(1,2),LI Shi-rong~1,GUO Hong-xia~3(1.Dept.of Mathematics and Information Science,Guangxi University,Nanning 530004,China;2.School of Science,XAUEST,Xi′an,710048,China;3.Dept.of Basic Course,College of Chinese People′ Armed Police Force,Xi'an 710086,China)  
The centralizers of subgroups has a strong control to the struction of finite group.In this paper,a weaker condition is given on the centralizers of minimal subgroups of finite group G,then the sufficent condition of p-solvable of G is obtained.Li Shirong′s result is generalized to some extent.
【Fund】: 广西自然科学基金资助项目(0249001)
【CateGory Index】: O152.1
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【References】
Chinese Journal Full-text Database 1 Hits
1 XU Ying-wu (School of Science,Xi'an Polytechnic University,Xi'an 710048,China);The centralizers of minimal subgroups and p-solvability of finite groups[J];Basic Sciences Journal of Textile Universities;2007-03
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 TANG Zeng-lin1,LI Shi-rong2(1.Hunan Universty Of arts and science,Changde Hunan 415000;2.Guangxi Universty,Guilin Guangxi 530004);CI-Section or Maximal Completion of Maximal Subgrops and Solvable Fintte Groups[J];Journal of Hunan University of Arts and Science(Science and Technology);2007-03
2 YAN Yan-xiong, CHEN Gui-yun, HE Li-guan(School of Mathematics and Finance, Southwest China Normal University, Chongqing 400715, China);Finite Groups with 42 Elements of Maximal Order Are Solvable[J];Journal of Chongqing Teachers College(Natural Science Edition);2005-03
3 LI Shang-zhao1 LIAO Xiao-lian2(1.Department of Mathematics,Changshu Institute of Technology,Changshu 215500,China;2.Department of Mathematics,Hunan Institute of Humanities Science and Technology,Loudi 417000,China.);Some Properties and Applications about the Maximal Subgroup[J];Journal of Changshu Institute of Technology;2008-08
4 XU Ying-wu~(1,2) (1.Dept.of Mathematics and Information Science,Guangxi Univeristy,Nanning,Guangxi 530004,China;2.School of Science,XAUEST,Xi'an 710048,China);The influence of S-normality of minimal subgroups on the structure of finite groups[J];Basic Sciences Journal of Textile Universities;2005-04
5 XU Ying-wu (School of Science,Xi'an Polytechnic University,Xi'an 710048,China);The centralizers of minimal subgroups and p-solvability of finite groups[J];Basic Sciences Journal of Textile Universities;2007-03
6 JIANG You yi, LIU Xue fei(1.Department of Mathematics and Physics,Chongqing Three Gorges College,Chongqing 404000,China;2.Department of Mathematics and physics, Chongqing University,Chongqing 400044,China);On Simple Groups of Orders 2~a13~bp~cq~d and 2~a17~bp~cq~d[J];Journal of Chongqing University(Natural Science Edition);2003-05
7 YAN Yan-xiong ~1,CHEN Gui-yun ~2,HE Li-guan ~3 (1.Department of Mathematics,Chongqing Education College,Chongqing 400067,China;2.School of Mathematics and Finance,Southwest Department of Mathematics University,Chongqing 400715,China;3.Chongqing Normal University,Chongqing 400047,China);Finite Groups With 52 p Elements of Maximal Order[J];Journal of Chongqing University(Natural Science Edition);2006-09
8 YAN Yan-xiong1,2,CHEN Gui-yun2(1.Department of Mathematics,Chongqing Education College,Chongqing 400067,P R China; 2.School of Mathematics and Statistics,Southwest China University,Chongqing 400715,P R China);Finite Groups with 76p Elements of Maximal Order[J];Journal of Chongqing University(Natural Science Edition);2007-11
9 LIU Yu-feng(Technology Institute, Xuzhou Normal University, 221011,Xuzhou,Jiangsu,China);The p-length of Finite Groups with Given Indices[J];Journal of Huaibei Industry Teachers College (Natural Sciences Edition);2003-03
10 LIU Yu-feng(School of Mathematics and Informational Science,Shandong Institute of Business and Technology,264005,Yantai,Shandong,China);c-supplement Subgroup of Finite Group and Supersovlability[J];Journal of Huaibei Coal Industry Teachers College(Natural Science Edition);2006-01
【Co-references】
Chinese Journal Full-text Database 1 Hits
1 LI Yang-ming (Dept. of Math. Guangdong College of Education, Guangzhou 510303; Dept. of Math. Zhongshan Univ, Guangzhou 510275);C-Normal Subgroups and Structure of Finite Groups[J];Chinese Journal of Engineering Mathematics;2001-04
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