幂零群 meaning in English
nilpotent group
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。 - Suppose that ( x ) is contain in v ( g ) for every element x of n with prime order , and suppose that ( y ) is semi - normal or c - normal in g for every element y of n with order 4 , then g is nilpotent
若n之极小子群含于v ( g ) ，且2 ~ 2阶循环子群在g中或半正规或c -正规，则g是幂零群