On finite 2-groups all of whose subgroups are mutually isomorphic

被引：1

作者：

Cepulic, Vladimir ^{[1
]}

机构：

[1] Univ Zagreb, Fac Elect Engn & Comp, Zagreb 10000, Croatia

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS | 2009年 / 52卷 / 02期

关键词：

p-groups; maximal subgroups; minimal nonabelian; minimal nonmetacyclic;

D O I：

10.1007/s11425-009-0006-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we investigate the title groups which we call isomaximal. We give the list of all isomaximal 2-groups with abelian maximal subgroups. Further, we prove some properties of isomaximal 2-groups with nonabelian maximal subgroups. After that, we investigate the structure of isomaximal groups of order less than 64. Finally, in Theorem 14. we show that the minimal nonmetacyclic group of order 32 possesses a unique isomaximal extension of order 64.

引用

页码：254 / 260

页数：7

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