A Remark on K 2 of the Rings of Integers of Totally Real Number Fields
A Remark on K 2 of the Rings of Integers of Totally Real Number Fields
复制标题
DOI：
10.1080/00927870701404333
复制
发表时间：
2007-09
影响因子：
0.7
通讯作者：
Xuejun Guo
中科院分区：
文献类型：
--
作者：
Xuejun Guo
设F是阶数n = [F: π]≥3的全实数域。Mazur和Urbanowicz证明，如果and F不是或，那么F一定是Mazur和Urbanowicz（1992）中列出的14种情况之一。在本文中，证明了这14种情况中有3种不满足（*），而其他情况都满足（*）。因此，我们找到满足（*）的所有全实数域。
Let F be a totally real number field with degree n = [F:ℚ] ≥ 3. Mazur and Urbanowicz proved that if and F is not or , then F must be one of the 14 cases listed in Mazur and Urbanowicz (1992). In this article, it is proved that 3 of these 14 cases don't satisfy (*), while all the other cases satisfy (*). Hence we find all totally real number fields which satisfy (*).