素数阶群按树上有限交换幂零半群的单纯理想扩张

Simple ideal extension of a group of prime order by a finite commutative nilpotent semigroup on a tree

研究了素数阶群G按树上的有限交换幂零半群N的单纯理想扩张S .给出了G按N的单纯理想扩张的存在条件。

Discusses the simple ideal extensions S of a group G of prime order by a finite commutative nilpotent semigroup N on a tree and specifies the sufficient and necessary conditions for the existance of such extensions and gives the number of such extensions as well.