单群的英文

• one-group
• simple group
• single group

• 单:    singular number fate; destin ...
• 群:    crowd; group
• 半单群:    semisimple group
• 单群法:    one groumethod
• 单群落:    monocoenosis

例句与用法

1. Group theory is particularly rich in problems of this type, especially because of the search for sporadic simple groups .
   在这类问题中，特别是由于对散在的单群的研究，群论有特别丰富的内容。
2. Theorem 2 . 4 let g be a non - abelian inner - finite group , each non - trivial proper subgroup of g is prime order cyclic group if and only if g is a simple group ; each proper subgroup of g is nilpotent ; and each non - trivial subgroup of g is self - normalizer
   4设g是非阿贝尔的内有限群，则g的每个非平凡真子群都是素数阶循环群的充分必要条件是g是单群， g的每个真子群幂零且g的每个非平凡的真子群自正规化定理2
3. In this paper , at first we study the inner - finite core - finite group in section 2 . by investigating the inner - finite infinite simple groups , we have proved : theorem 2 . 2 let g be a non - abelian inner - finite group and g = < a , b > . if one of a and b is an involution , then g is not a simple group
   2设g是由a和b两元生成的非阿贝尔的内有限群，若a和b两元中有对合，则z ( g )含对合，因而g非单群；而且g不是内阿贝尔的。
4. Theorem 2 . 5 let g be an infinite simple group that satisfies maximal condition . g is an inner - finite group and each non - trivial proper subgroup of g is abelian if and only if for each x in g , cg ( x ) is the only maximal subgroup that contain x . s * ( a * , c * ) - groups can be regarded as a generalizations of dedekind groups , since all of dedekind groups are s * ( a * , c * ) - groups
   5设g是满足极大条件的无限单群，则g是内有限群，而且g的每个非平凡真子群是阿贝尔群的充分必要条件是对g的任意非平凡元x ，有c _ g ( x )是g的含x的唯一极大子群且c _ g ( x )是有限的。

百科释义

在数学中，单群()意指没有非平凡正规子群的群。

其他语言

单群的法语：Groupe simple
单群的日语：たんじゅんぐん
单群的韩语：단순군
单群的俄语：Простая группа
单群的阿拉伯语：زمرة بسيطة;
单群的印尼文：grup sederhana;