| 一类偶数阶有限群的一个结论 |
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| 引用本文： | 张玉成.一类偶数阶有限群的一个结论[J].深圳信息职业技术学院学报,2005(Z1). |
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| 作者姓名： | 张玉成 |
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| 作者单位： | 深圳信息职业技术学院基础部 广东 |
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| 摘 要： | 本文运用近世代数中有关子群、置换、陪集、同构等理论,对有限群中阶数为2k(k为奇数)的群进行了一点探讨,证明了这类群中存在指数为2的k阶正规子群.
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| 关 键 词： | 子群 置换 阶数 同构 |
A conclusion of the even rank finite group |
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| ZHANG Yucheng.A conclusion of the even rank finite group[J].Journal of Shenzhen Institute of Information Technology,2005(Z1). |
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| Authors: | ZHANG Yucheng |
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| Abstract: | In this the paper use some theories about subgroup, permutation ?coset and isomorph in advanced are employed algebra to do some research about the group whose rank is 2k (k is an odd number) in finite group, proved that there exists is k rank canonical subgroup whose exponent is 2 among this kind of finite group. |
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| Keywords: | subgroup permutation rank isomorph |
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