一类广义超特殊p-群的因子分解数

摘要

Let G be a finite group,A and B be two subgroups of G. If G=AB,then G is said to be factorized by A and B. Let G be a generalized extraspecial p-group as follows,G= x,y,z|||xp=yp=zpm=1,[x,z]=[y,z]=1,[x,y]=zpm-1 , m≥1 ,then the factorization number of G is determined.%设G是一个有限群，A，B是G的两个子群，若G=AB，则称G被A和B因子分解。设G是如下的一类广义超特殊p-群，G= x,y,z|xp=yp=zpm=1,[x,z]=[y,z]=1,[x,y]=zpm-1, m≥1，则G的因子分解数被确定。