Finite p-groups with abelian maximal subgroups generated by two elements
Zhixiu LI1(), Haipeng QU2
1. Department of Mathematics, Jinzhong University, Jinzhong 030619, China 2. School of Mathematics and Computer Science, Shanxi Normal University, Taiyuan 030032, China
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 Mn-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.
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