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Finite p-groups with abelian maximal subgroups generated by two elements
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作者 Zhixiu LI Haipeng QU 《Frontiers of Mathematics in China》 CSCD 2024年第1期1-12,共12页
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,thi... 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. 展开更多
关键词 Finite p-group regular p-group abelian maximal subgroupnumber of Generators
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