The number of nonabelian subgroups of A_{3}groups 

Author  SangXiaoYan 
Tutor  ZhangQinHai 
School  Shanxi Normal University 
Course  Basic mathematics 
Keywords  A_tgroups maximal subgroups the number of nonabelian subgroups 
CLC  O152.1 
Type  Master's thesis 
Year  2014 
Downloads  0 
Quotes  0 
Suppose that G is a finite pgroup. If all subgroups of index pt of G are abelian and at least one subgroup of index pt1of G is not abelian, then G is called an Atgroup. This paper gives the triple (μ0,μ1,μ2), where μi(i=0,1,2) denotes the number of Aisubgroups of index p in A3groups, respectively. The number of A1subgroups in A3groups is also given.