| 关于李世荣的一个定理 |
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| 引用本文： | 黎先华. 关于李世荣的一个定理[J]. 贵州师范大学学报(自然科学版), 1991, 9(3): 18-22 |
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| 作者姓名： | 黎先华 |
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| 作者单位： | 贵州师大数学系 贵阳 |
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| 摘 要： | 本文使用文献[1]的结果,证明了下列定理:定理设G为有限群。假若G的非正规极大子群同阶类类数=2,则(1)若G可解,则|π(r_∞(G))|≤2。(2)若G不可解,则其中Z_2~3为G′φ(G)的极小正规子群,K可解,i=0,1,2,……
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| 关 键 词： | 同阶类 半直积 幂零剩余 |
ON ONE OF LI SHIRONG''''S THEOREM |
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| Li Xianhua. ON ONE OF LI SHIRONG''''S THEOREM[J]. Journal of Guizhou Normal University(Natural Sciences), 1991, 9(3): 18-22 |
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| Authors: | Li Xianhua |
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| Abstract: | In this paper, We use the result of [1] to prove the following theorem: Theorem Let G be a finite group.If G has exactiy 2 the same order classes of maximal non-normal subgroups, then (1) If G is solvable, then |π(r_∞(G))| ≤2 (2) If G is non-solvable, then Where Z_2~3 is a minimal normal subgroup of G/φ(G), K is solvable group, i=0,1, 2,…. |
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| Keywords: | The same Order Classes Semidirect Products Nilpotent Residual |
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