节点文献
可解群的中心化子的阶的一个性质
A Prperty of the orders of centralizers o Solvable groups
【摘要】 设ZO(G)={|CG(x)||x∈G\Z(G)},pz(G)=|{p|p|k,p为素数，k∈ZO(G)}|．σ(k)=|{p|p|k,p为素数}|σz(G)=max{σ(k)|k∈ZO(G)}．本文证明了：若G是可解群，则Pz(G)≤Zσz(G)．
【Abstract】 let ZO(G)={|CG(x)||x∈G\Z(G)},pz(G)=|{p|p|k, p is prime } |,σ(k)=|{p|p|k,p is prime}|,σz(G)=max{σ(k)|k ∈ ZO(G)}. In thispaper, we prove that if G is a solvable group, then Pz(G)≤Zσz(G).
- 【文献出处】 长沙铁道学院学报 ,JOURNAL OF CHANGSHA RAILWAY UNIVERSITY , 编辑部邮箱 ,1997年03期
- 【分类号】O152
- 【下载频次】45