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

作　　者：Zhixiu LI Haipeng QU 

机构地区：[1]Department of Mathematics,Jinzhong University,Jinzhong 030619,China [2]School of Mathematics and Computer Science,Shanxi Normal University,Taiyuan 030032,China

出　　处：《Frontiers of Mathematics in China》2024年第1期1-12,共12页中国高等学校学术文摘·数学（英文）

摘　　要：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,M_(2)-groups have been classified.For odd prime p,this paper provides the isomorphism classification of M_(2)-groups,thereby achieving a complete classification of M_(2)-groups.

关 键 词：Finite p-group regular p-group abelian maximal subgroupnumber of Generators 

分 类 号：O15[理学—数学]