Finite p-groups with abelian maximal subgroups generated by two elements

Abstract

Assume that G is a finite non-abelian p-group. If G has an abelian maximal subgroup whose number of Generators is at least n, then G is called an M_n-group. For p = 2, M₂-groups have been classified. For odd prime p, this paper provides the isomorphism classification of M₂-groups, thereby achieving a complete classification of M₂-groups.

Key words： Finite p-group; regular p-group; abelian maximal subgroupnumber of Generators

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