Finite P-groups All Of Whose Minimal Non-abelian Subgroups Are Of Order ρ~3

In this paper, we investigate some properties of p-groups all of whose minimal non-abelian subgroups are of order p3. Moreover, we classify p-groups all of whose minimal non-abelian subgroups are isomorphic to Mp(1,1,1). In addition, some results are obtained about p-groups all of whose minimal non-abelian subgroups are isomorphic to Mp(2,1), where Mp(2,1) and Mp(1,1,1) denote metacyclic and non-metacyclic groups of order p3, respectively.