摘要
本文讨论了同一域的有限维伽罗华扩张之间存在平行相似关系的条件，给出了同一类平行相似的有限维伽罗华扩张的性质。
The conditions of parallel similarity relation between finite dimensional Galois extensions on the same field are discussed in this paper, Besides, the properties of finite dimensional Galois extension of the same class of parallel similarity are proposed.
关键词
正规扩张
有限维
伽罗华扩张
伽罗华群
平行相似
nomal extension
finite dimensional Galois extension
Galois group parallel similarity
cyclic extension
