nilpotent group meaning in English
幂零群
Examples
- Some sufficient and necessary conditions of - nilpotent group
幂零群的几个充要条件 - Theorem 3 . 10 if g is locally nilpotent group and c * - group , then g is baer nilpotent and hypercentral group
定理3若局部幂零群g是c二群，则g是baer幂零而且是超限上中心群 - Theorem 3 . 11 if g is torsion locally nilpotent group and c ( p ) - group , then the nilpotent class of g is at most 3
定理3 11若周期的局部幂零群g是c ” …卜群，则g的类最多为3 - So we can easily obtain nilpotent class of s * ( a * , c * ) - groups and the structure of their derived subgroup in the case of torsion and locally nilpotent group
从而进一步得到了周期的局部幂零群的幂零类及导群的结构。 - At the same time , we get some new characterization of supersolvable and nilpotent groups by introduce the new concepts of u ( g ) and v ( g ) . the following theorems are some of the main results in this thesis . 1
特别地，引进群g的两个特征子群u ( g )及v ( g ) ，用这两个子群来刻划有限群的结构，得到了有限群超可解，幂零的一些充分条件，减弱了某些已知定理的条件