MINIMAL NONABELIAN AND MAXIMAL SUBGROUPS OF A FINITE p-GROUP

被引：2
|
作者：
Berkovich, Yakov [1 ]
机构：
[1] Univ Haifa, Dept Math, IL-31905 Haifa, Israel
来源：
GLASNIK MATEMATICKI | 2008年 / 43卷 / 01期
关键词：
Metacyclic p-groups; p-groups of maximal class; minimal non-abelian p-groups; absolutely regular p-groups; abelian maximal subgroups; maximal abelian normal subgroups;
D O I：
10.3336/gm.43.1.07
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The p-groups all of whose nonabelian maximal subgroups are either absolutely regular or of maximal class, are classified (Theorem 2.1). For the main result of [CP] and [ZAX] classifying the p-groups all of whose proper nonabelian subgroups are metacyclic, we offer a proof which is shorter and not so involved. In conclusion we study, in some detail, the p-groups containing an abelian maximal subgroup.
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页码：97 / 109
页数：13
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