Dissertation
Dissertation > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Group theory > Finite group theory

The number of non-abelian subgroups of A3-groups

Author SangXiaoYan
Tutor ZhangQinHai
School Shanxi Normal University
Course Basic mathematics
Keywords A_t-groups maximal subgroups the number of non-abelian subgroups
CLC O152.1
Type Master's thesis
Year 2014
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Suppose that G is a finite p-group. If all subgroups of index pt of G are abelian and at least one subgroup of index pt-1of G is not abelian, then G is called an At-group. This paper gives the triple (μ0,μ1,μ2), where μi(i=0,1,2) denotes the number of Ai-subgroups of index p in A3-groups, respectively. The number of A1-subgroups in A3-groups is also given.

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