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- The Galois group of F/L is S, by a basic result of Emil Artin. 现代的方法比起置换群的方法，有几点优势：它使得伽罗瓦理论基本定理的描述更为简洁；
- Moreover, If the order of K is a unit in R, then R~K is Galois over R~K with Galois group G/K. 如果还有K的阶数是R中的单位;则还有R~K在R~G上是Galois的;Galois群为G/K.
- Quintic abelian fields are characterized in terms of their conductor and a certain Galois group. 本研究主要的目的是探讨中产阶级，尤其是中产阶级母亲对于子女教育实践的模式。
- Igor Shafarevich proved that every solvable finite group is the Galois group of some extension of Q . 这在经典框架中并不成为问题，因为这时总是可以假定为特征0的；
- It is easy to construct field extensions with any given finite group as Galois group, as long as one does not also specify the ground field. 进一步的解释和例子请参见关于伽罗瓦群的文章。
- Education should not be restricted to any one specific age group. 教育不应限制在任何特定的年龄组上。
- He broke away from that lawless group years ago. 他在几年前脱离了那个非法团体。
- The group of barbaric soldiers killed many people. 那群野蛮的士兵杀了很多人。
- The group was made up of doctors. 这个团体是由医生组成的。
- A group of boys dashed out of the classroom. 一群男孩子从教室里冲出来。
- I come upon a group of children play in the street. 我遇到一群孩子在街上玩耍。
- He goes about with a group of nice boys. 他经常和一群好孩子在一起玩。
- He is a the most brisk young man in this group. 他是这个小组中最活跃的年轻人。
- He showed me a photo of a family group. 他给我看一张合家欢的照片。
- The chief accountant of a manufacturing group. 一个制造业集团的总会计师。
- The hunting group had good sport today. 今天打猎小组满载而归。
- I stand out in a group interview. 在集体面试中脱颖而出。
- He looked around the small group of mourners. 他环顾一下那一小群的送葬者。
- The group of destroyers damaged the bus. 那群破坏者毁坏了这辆公共汽车。
- On some problems of Galois theory. 关于伽罗瓦理论中几个问题的讨论
