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.

引用

页码：97 / 109

页数：13

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