首页|Finite p-Groups G with H'=G'for Each A2-Subgroup H
Finite p-Groups G with H'=G'for Each A2-Subgroup H
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A finite p-group G is called an At-group if t is the minimal non-negative integer such that all subgroups of index pt of G are abelian.The finite p-groups G with H'=G'for all A2-subgroups H of G are classified completely in this paper.As an application,a problem proposed by Berkovich is solved.