| Buckley定理的推广 |
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| 引用本文： | 张兴兰,王竹绵.Buckley定理的推广[J].山西大学学报(自然科学版),1997,20(3):264-266. |
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| 作者姓名： | 张兴兰 王竹绵 |
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| 作者单位： | 运城高等专科学校(张兴兰)，山西省经济信息中心(王竹绵) |
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| 摘 要： | 文章获得如下结果：设Ｎ是有限可解群Ｇ的正规子群，如果Ｇ／Ｎ为超可解群，且Ｆｉｔ（Ｎ）的每一极小子群以及每一阶为４的循环子群在Ｇ中正规，则Ｇ为超可解群
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| 关 键 词： | Fiting子群，超可解群，极小子群 |
A GENERALIZED BUCKLEY THEOREM |
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| Zhang Xinlan.A GENERALIZED BUCKLEY THEOREM[J].Journal of Shanxi University (Natural Science Edition),1997,20(3):264-266. |
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| Authors: | Zhang Xinlan |
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| Institution: | Zhang Xinlan (Yuncheng Advanced Professional College Yuncheng 044000 ) Wang Zhumian (Economic Information Centre of Shanxi Province) |
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| Abstract: | In this paper the following result is obtained:Let N be a normal subfroup of a finite solvable group G. If G/N is supersolvable,and every minimal subgroup and every cyclic subgroup of order 4 of Fit (N) are normal in G ,then G is supersolvable. |
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| Keywords: | fitting subgroup supersolvable groups minimal subgroup |
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