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Finite Groups Whose Nontrivial Normal Subgroups Have Order Two

Finite Groups Whose Nontrivial Normal Subgroups Have Order Two
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摘要 In this paper, we investigate the structure of the groups whose nontrivial normal subgroups have order two. Some properties of this kind of groups are obtained. In this paper, we investigate the structure of the groups whose nontrivial normal subgroups have order two. Some properties of this kind of groups are obtained.
作者 Shou Hong QIAO Da Chang GUO
机构地区 School of Applied Mathematics
出处 《Journal of Mathematical Research and Exposition》 CSCD 2011年第4期675-680,共6页 数学研究与评论（英文版）
基金 Project supported in part by the National Natural Science Foundation of China (Grant No.10871210) Foundation of Guangdong University of Technology (Grant No.093057)
关键词 finite groups normal subgroups soluble groups insoluble groups simple groups finite groups normal subgroups soluble groups insoluble groups simple groups
分类号 O152 [理学—基础数学]
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参考文献5

  • 1ZHANG Qinhai, CAO Jianji. Finite groups whose nontriviM normal subgroups have the same order [J]. J. Math. Res. Exposition, 2008, 28(4): 807-812.
  • 2SHORT M W. Primitive Soluble Permutation Groups of Degree Less Than 256 [M]. Springer-Verlag, Berlin, 1992.
  • 3GORENSTEIN D. Finite Simple Groups: An Introduction to Their Classification [M]. Plenum Publishing Corp., New York, 1982.
  • 4HUPPERT B. Endliche Gruppen (I) [M]. Springer-Verlag, Berlin-New York, 1967. (in German).
  • 5XU Mingyao, et al. An Introduction to Finite Groups [M]. Science Press, Beijing, 2001. (in Chinese).
Journal of Mathematical Research and Exposition
2011年 第4期

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