论文标题
比较多个$ \ mathbb {z} _p $ - extensions中的直接限制和反向限制甚至$ k $ groups
Comparing direct limit and inverse limit of even $K$-groups in multiple $\mathbb{Z}_p$-extensions
论文作者
论文摘要
Iwasawa首先建立了二元性，该双重性将直接限制和$ \ mathbb {z} _p $ - extension中的课程组的倒数限制扩展到了许多作者最近已将此结果扩展到多个$ \ mathbb {z} _p $ extensions。在本文中，我们为直接限制建立了一个类似的二重性，甚至在$ \ mathbb {z} _p^d $ extension中，甚至$ k $ groups的较高限制。
Iwasawa first established a duality relating the direct limit and the inverse limit of class groups in a $\mathbb{Z}_p$-extension, and this result has recently been extended to multiple $\mathbb{Z}_p$-extensions by many authors. In this paper, we establish an analogous duality for the direct limit and the inverse limit of higher even $K$-groups in a $\mathbb{Z}_p^d$-extension.
