极大子群都同构的有限p-群
On Finite p-Groups Whose All Maximal Subgroups are Isomorphic
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摘要: 设群G是一个有限p-群.如果G的所有极大子群都同构，则称G为MI群.利用正则p-群以及MI群的性质，通过分类讨论的方法，给出了阶不大于p6的MI群的结构.Abstract: A finite p-group is said to be a MI group if all of its maximal subgroups are isomorphic. In this paper, the structure of MI groups whose order is less than or equal to p6 is given by means of the properties of regular p-groups and MI groups.
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Key words:
- maximal subgroups /
- inner abelian p-group /
- regular p-group .
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