| Cuccia定理的一个推广 |
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| 引用本文： | 徐颖吾,李世荣.Cuccia定理的一个推广[J].数学季刊,2006,21(4). |
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| 作者姓名： | 徐颖吾 李世荣 |
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| 作者单位： | College of Mathematics and Information Science Guangxi University，College of Mathematics and Information Science，Guangxi University，Nanning 530004，China School of Science，Xi'an Polytechnic University，Xi'an 710048，China，Nanning 530004，China |
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| 基金项目： | Supported by the Natural Science Foundation of Guangxi Autonomous Region(0249001) |
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| 摘 要： | For a finite group G,let S(G)be the set of minimal subgroups of odd order of G which are complemented in G.It is proved that if every minimal subgroup X of odd order of G which does not belong to S(G),C_G(X)is either subnormal or abnormal in G.Then G solvable.
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A Generalization of Cuccia's Theorem |
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| XU Ying-wu,LI Shi-rong.A Generalization of Cuccia''''s Theorem[J].Chinese Quarterly Journal of Mathematics,2006,21(4). |
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| Authors: | XU Ying-wu LI Shi-rong |
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| Abstract: | For a finite group G,let S(G)be the set of minimal subgroups of odd order of G which are complemented in G.It is proved that if every minimal subgroup X of odd order of G which does not belong to S(G),C_G(X)is either subnormal or abnormal in G.Then G solvable. |
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| Keywords: | the centralizer of a minimal subgroup subnormal subgroups abnormal subgroup solvable group |
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