Unramified extensions of quadratic fields

作者：Li, Wei^*; Yang, Dong; Zhang, Xianke

来源：Progress in Natural Science, 2008, 18(3): 323-324.

DOI：10.1016/j.pnsc.2007.11.005

• global quadratic fields
• unramified extensions

Let K be a global quadratic field, then every unramified abelian extension of K is proved to be absolutely Galois when K is a number field or under some natural conditions when K is a function field. The absolute Galois group is also determined explicitly.

• 出版日期2008-3-10
• 单位清华大学