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《Journal of Hunan University of Arts and Science(Science and Technology)》 2007-03
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CI-Section or Maximal Completion of Maximal Subgrops and Solvable Fintte Groups

TANG Zeng-lin1,LI Shi-rong2(1.Hunan Universty Of arts and science,Changde Hunan 415000;2.Guangxi Universty,Guilin Guangxi 530004)  
Using new ideas to consider Deskins maximal completion and CI-section of maximal subgroup,obtained: Finite group G is solvable if and only if for all maximal subgroups of G,there exist a maximal element C of I(C) such that C/K(C) is nilpotent with a Sylow-2 subgroup of class at most 2 or Sec(M) is 2-closed.
【Fund】: 湖南文理学院重点研究项目(JJZD0701)
【CateGory Index】: O152
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 ZHONG Xiang-gui1, SHAN Jun-hui1, ZHANG Hong1,2 (1.College of Mathematical Sciences, Guangxi Normal University, Guilin 541004,China; 2.Department of Mathematics and Computer Science, Kaili University, Kaili 556000,China);On the s-θ-completions of maximal subgroups and the π-solvability of a finite group[J];Pure and Applied Mathematics;2009-02
2 TANG Zeng-lin, MEI Han-fei (Department of Mathematic, Hunan University of Arts and Science, Hunan Changde 415000);On s-Completion for Maximal Subgroups[J];Journal of Hunan University of Arts and Science(Science and Technology);2007-01
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 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 LIN Da-hua(Department of Mathematics,Minjiang University,Fuzhou,Fujian 350108,China);Some conclusion on periodicial group[J];Journal of Minjiang University;2008-02
10 LI Shi-rong,SHI Jiang-tao,ZHANG Cui(College of Mathematics and Information Sciences,Guangxi University,Nanning 530004,China);Some Sufficient Conditions of p-nilpotent Groups and p-closed Groups[J];College Mathematics;2007-01
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 MENG Yang, FU Guang-sheng (Electronic Engineering Department, CHangsha Social Work College, CHangsha Hunan 410004; CHangde Educational and Scientific Research Institute, CHangde Hunan 415000);Grover Quantum Algorithm and Security Analysis of DES[J];Journal of Hunan University of Arts and Science(Natural Science Edition);2006-03
2 ZHANG Xiao-dan1, XIAO Xiao-qiang2 (1. Jishou University, Jishou, Hunan, 416000; 2. Defence Institute of Technology, Changsha, Hunan, 410073);A Fast Algorithm on Pairs for Elliptic Curve Cryptosystems[J];Journal of Hunan University of Arts and Science(Science and Technology);2007-04
3 LOU Xiao-ping, DAI Jun(College of Computer Science, Hunan University of Arts and Sciences, Changde Hunan, 415000);Research and implement of a voice encryption method in the trunking communication[J];Journal of Hunan University of Arts and Science(Science and Technology);2008-04
4 LI Gang (Deptartment of Computer Science, Zaozhuang University , Zaozhuang Shandong, 277100);The research of distributed intrusion detection system based on agent[J];Journal of Hunan University of Arts and Science(Science and Technology);2009-03
5 PAN Bao-guo (Department of Mathematics and Computation,Hunan University of Science and Engineering,Yongzhou,Hunan,425100);Parameters estimation of a bilinear model[J];Journal of Hunan University of Arts and Science(Science and Technology);2009-04
6 HE Le-ping,YANG Yu-ying (College of Mathematics and Computer Science,Jishou University,Jishou 416000 ,China);On the norm of a Hilbert's type linear operator and applications[J];Journal of Hunan University of Arts and Science(Natural Science Edition);2010-02
7 Liu Shuanggen1,2 Hu Yupu1(1Key Laboratory of Computer Network and Information Security of Ministry of Education,Xidian University,Xi'an 710071,China)(2College of Computer Information Engineering,Jiangxi Normal University,Nanchang 330022,China);Fast and secure elliptic curve scalar multiplication algorithm based on special addition chains[J];东南大学学报(英文版);2008-01
8 PANG Liao-jun,LIU Yi,WANG Yu-min(National Key Laboratory of Integrated Service Networks,Xidian University,Xi'an,Shaanxi 710071,China);An Efficient(t,n) Threshold Multi-Secret Sharing Scheme[J];Acta Electronica Sinica;2006-04
9 LIU Duo DAI Yi-Qi(Department of Computer Science and Technology,Tsinghua University,Beijing 100084);A New Algorithm of Elliptic Curve Multi-Scalar Multiplication[J];Chinese Journal of Computers;2008-07
10 DING Xiao-Fei MA Chuan-Gui(Zhengzhou Information Science and Technology Institute,Zhengzhou 450002);The Three-Party Password-Authenticated Key Exchange Protocol with Stronger Security[J];Chinese Journal of Computers;2010-01
【Secondary References】
Chinese Journal Full-text Database 1 Hits
1 LIU Guo-zhu,QI Hua-xin *(School of Information Science & Technology,Qingdao University of Science & Technology,Qingdao 266061,P.R.China);Efficient NAF Scalar Multiplication Algorithm with Low Storage[J];Science Technology and Engineering;2013-19
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