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

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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.

作者 Zhixiu LI Haipeng QU

机构地区 Department of Mathematics School of Mathematics and Computer Science

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

关键词 Finite p-group regular p-group abelian maximal subgroupnumber of Generators

分类号 O15 [理学—基础数学]

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参考文献1

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共引文献11

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Frontiers of Mathematics in China

2024年第1期

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

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