| 具有给定指数的有限群的p-长 |
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| 引用本文： | 刘玉凤. 具有给定指数的有限群的p-长[J]. 淮北煤炭师范学院学报(自然科学版), 2003, 24(3): 1-4 |
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| 作者姓名： | 刘玉凤 |
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| 作者单位： | 徐州师范大学工学院,江苏,徐州,221011 |
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| 基金项目： | 国家自然科学基金资助项目(10171086) |
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| 摘 要： | 本文研究准素子群正规化子有素数幂指数的有限群,证明了:如果一个有限群G的所有准素子群的正规化子有素数幂指数,则对于任意素数p,G的p-长小于等于1.
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| 关 键 词： | 有限群 准素子群 正规化子 p-长 |
| 文章编号： | 1000-2227(2003)03-0001-04 |
| 修稿时间： | 2003-03-19 |
The p-length of Finite Groups with Given Indices |
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| LIU Yu-feng. The p-length of Finite Groups with Given Indices[J]. Journal of Huaibei Coal Industry Teachers College(Natural Science edition), 2003, 24(3): 1-4 |
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| Authors: | LIU Yu-feng |
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| Abstract: | In this paper, we study finite groups in which the index of the no rm alizer of every primary subgroup is a prime power and prove that the bound of th e p-length of any such group G is at most 1 for every prime p. |
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| Keywords: | finite group primary subgroup normalizer p-length |
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