| fitting子群是Abel群的有限可解群 |
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| 引用本文： | 刘合国.fitting子群是Abel群的有限可解群[J].湖北大学学报(自然科学版),1992,14(3):241-244. |
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| 作者姓名： | 刘合国 |
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| 作者单位： | 湖北大学数学系 |
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| 摘 要： |
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| 关 键 词： | Fitting子群 可解群 阿贝尔群 |
ON SOME FINITE SOLVABLE GROUPS WHOSE FITTING SUBGROUPS ARE ABELIAN |
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| Liu Heguo.ON SOME FINITE SOLVABLE GROUPS WHOSE FITTING SUBGROUPS ARE ABELIAN[J].Journal of Hubei University(Natural Science Edition),1992,14(3):241-244. |
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| Authors: | Liu Heguo |
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| Institution: | Department of mathematics |
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| Abstract: | In this paper, we discuss some finite solvable groups whose Fitting subgroups are abelian.and prove the following result.
Suppose that G is a finite solvable group,that its Fitting subgroup is abelian ,and that every proper subgroup of G is 2-generated,then G(3)=1 and this bound is best possible. |
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| Keywords: | Fitting subgroup Solvable group |
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