Finite p-Groups in Which the Number of Subgroups of Possible Order Is Less Than or Equal to p~3

被引：0
|
作者：
Haipeng QU
机构：
来源：
ChineseAnnalsofMathematics(SeriesB) | 2010年 / 31卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Inner abelian p-groups; Metacyclic p-groups; Groups of order pn with a cyclic subgroup of index p2; The number of subgroups;
D O I：
暂无
中图分类号：
O152.1 [有限群论];
学科分类号：
摘要：
In this paper, groups of order pn in which the number of subgroups of possible order is less than or equal to p3 are classified. It turns out that if p > 2, n ≥ 5, then the classification of groups of order pn in which the number of subgroups of possible order is less than or equal to p3 and the classification of groups of order pn with a cyclic subgroup of index p2 are the same.
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页码：497 / 506
页数：10
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