《Galois cohomology》 * * * 11:50 In fact, it is often more convenient not to work with a fixed extension K/k. ---- K/k 不固定更好. . The situation is the following: ---- 情况是这样的. . One has a ground field k, and a functo r K ~ A(K) defined on the category of ...
继续读 Edwards 的书 S41... * * * 16:45 The Galois group of the given equation f(x) = 0 with roots a, b, c, ... is the group with the following presentation. ---- 下文给出 Galois 群的表述 (关乎方程的根). . 简记: Galois group ~ f(x)=0 ~ a, b, c, ... . ...
要抓住大写字母... * * * 9:10 Let k be a field, and let K be a Galois extension of k. ---- 设立一个域和它的 Galois 扩域. ---- 域和扩域都是集合 (后者包含前者). . The Galois group Gal(K/k) of the extension K/k is a profinite group (cf. Chap.I.S1.1)... ---- K/k 是扩张,以它为基础得到 ...
最近买的书里捎了一本 Galois Cohomology ( 《伽罗瓦上同调》 ),JP Serre。据作者介绍,最早的版本是 1964,法文。手头这一本是1997年的英译版 (2002年重印),2013年引进出版。看看这一串数字:1964 ~ 1997 ~ 2002 ~ 2013。附录1 贴了一篇 1965年的文章(Regular elements of semisimple groups, by R S ...