On finite 2-groups all of whose subgroups are mutually isomorphic
On finite 2-groups all of whose subgroups are mutually isomorphic作者机构：Faculty of Electrical Engineering and Computing University of Zagreb
出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)
年 卷 期：2009年第52卷第2期
页 面：254-260页
核心收录：
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金：supported by Ministry of Science Education and Sports of Republic of Croatia (Grant No.036-0000000-3223)
主 题：p-groups maximal subgroups minimal nonabelian minimal nonmetacyclic 20D15
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.
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