摘要
研究了p-群二元生成子群的Frattin i正规嵌入问题,证明了:设G是p-群,N是非交换的p-群,N—G,N≤Φ(G).若d(N)=2,则N为亚循环群.
In this paper,we study the two-generator normal subgroups,which contained in the Frattini subgroups of p-groups.And a new rusult is abtained.Let G be a p-group,with a normal subgroup N such that N≤Φ（G）.If d（N）=2,then N is metacyclic.
出处
《山西师范大学学报（自然科学版）》
2009年第2期5-6,共2页
Journal of Shanxi Normal University(Natural Science Edition)
基金
咸阳师范学院引进人才基金项目(06XSYK273)
关键词
Fratini正规嵌入
亚循环群
四元数群
内交换群
极大类群
the Frattini normal embedding
the metacyclic group
the quaternion group
minimal non-abelian group
the group of maximal class.
