Finite P-groups All Of Whose Non-abelian Proper Subgroups Of Class 2 Are Two-generators

In this paper,it is proved that finite p-groups all of whose non-abelian(proper)subgroups of class two are two-generators are equivalent to finite p-groups all of whose non-abelian(proper)subgroups are two-generators.Based on the result,we classify finite p-groups all of whose non-abelian(proper)subgroups of class two are minimal nonabelian and finite p-groups all of whose non-abelian(proper)subgroups of class two are meta-cyclic,respectively.As a by-product,finite p-groups all of whose non-abelian(proper)subgroups of class two are of the same order are also classified.