| 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 classifies At-groups G with d(G)=t+1. In addition, it is investigated that finite p-groups which have at most a maximal abelian subgroup not in a minimal non-abelian subgroup. |
