阿贝尔的 meaning in English

abelian

Theorem 4 . 5 if locally soluble group g is c * ( w ) - group , then the chief factor of g is elementary abelian
5若局部可解群g是c卜群，则g的主因子是初等阿贝尔的
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
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。