Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Basic Sciences Journal of Textile Universities》 2007-03
Add to Favorite Get Latest Update

The centralizers of minimal subgroups and p-solvability of finite groups

XU Ying-wu (School of Science,Xi'an Polytechnic University,Xi'an 710048,China)  
In this paper,a series of sufficient conditions for a finite group to be p-solvable are obtained. The main result is as following:let p is a fixed odd prime number,if every subgroup X with order p of G,either X(?)G,or|G:C_G(X)|is a power of a prime,then G is to be p-solvable.This result is a generali- zation of a main result of Li Shirong.
【Fund】: 陕西省教育厅自然科学专项基金(05JK207);; 西安工程大学校管基金(2007XG33)
【CateGory Index】: O152
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【Citations】
Chinese Journal Full-text Database 1 Hits
1 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);On some sufficent condition of p-solvable of finite groups[J];Basic Sciences Journal of Textile Universities;2006-02
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Wang Xiaojing~1,Zhang Yan~1,Weng Fengtong~2(1.Dept.of Basic Sciences,Beijing 100044;2.School of Science,Jinan University,Jinan 250022);Some Sufficient and Necessary Conditions for a Finite Group to be Supersolvable[J];Journal of Beijing Institute of Civil Engineering and Architecture;2006-02
2 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
3 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
4 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
5 SONG Ying chun (Mathematics Dept., Loudi Teachers College, Loudi 417000, China);A Sufficient Condition for Afinite Group being Supersolvable[J];Journal of Changsha Communications University;2001-04
6 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);On some sufficent condition of p-solvable of finite groups[J];Basic Sciences Journal of Textile Universities;2006-02
7 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
8 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
9 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
10 LIN Da-hua(Department of Mathematics,Minjiang University,Fuzhou,Fujian 350108,China);Some conclusion on periodicial group[J];Journal of Minjiang University;2008-02
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved