| K_2Q中的有限阶子群 |
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| 引用本文： | 杨降龙.K_2Q中的有限阶子群[J].安徽大学学报(自然科学版),2009,33(6). |
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| 作者姓名： | 杨降龙 |
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| 作者单位： | 南京工程学院,基础部,江苏,南京,211167 |
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| 基金项目： | 国家自然科学基金资助项目，江苏省自然科学基金资助项目 |
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| 摘 要： | 当正整数n有两个或三个不同素因子时,论文首先给出了Gn(Q)是K2Q的子群时分圆多项式Φn(a,b)所需满足的丢番图方程.然后利用所得结论,通过计算证明了G30(Q),G45(Q),G90(Q)都不是K2Q的子群,从而部分证明了B rowk in的一个猜想.
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| 关 键 词： | 丢番图方程 分圆多项式 K2Q群 |
The subgroups of finite order in K_2Q |
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| YANG Xiang-long.The subgroups of finite order in K_2Q[J].Journal of Anhui University(Natural Sciences),2009,33(6). |
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| Authors: | YANG Xiang-long |
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| Institution: | YANG Xiang-long(Department of Basic Courses,Nanjing Institute of Technology,Nanjing 211167,China) |
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| Abstract: | In the paper,we first investigated some Diophantine equations,and then discussed when Gn(Q) was a subgroup of K2Q where n had two or three prime factors.Then we used those results to prove that none of G30(Q),G45(Q),G90(Q) was a subgroup of K2Q by computing,which confirmed a special case of a conjecture proposed by Browkin. |
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| Keywords: | Diophantine equation cyclotomic polynomial K_2Q group |
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