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- W3143661878 abstract "在平淡的内核和数字域的理想的类组之间有一个靠近的连接,是众所周知的。然而,后者是在数字理论的一个很困难的题目。在这篇论文,我们证明直接与μ_ p~n 的硬币变体的p~n等级连接周期的立方的地 F 的平淡的核的p~n等级的一些结果 X Cl (O_( E , T ))在 Galois 组的行动下面,在 E = F (ζ_ p~n )和 T 是由无限的素数组成的 E 的素数和划分 p 的有限素数的有限集合的地方。特别地,如果 F 是,有仅仅的周期的立方的域分支素数和 p = 3 , n = 2 ,我们使用平淡的内核的结果证明 E 的理想的类组的一些结果, E 和 F 的最大的真实子字段(ζ_ 3 )。" @default.
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- W3143661878 date "2007-01-01" @default.
- W3143661878 modified "2023-09-23" @default.
- W3143661878 title "On Tame Kernels and Ideal Class Groups" @default.
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