FINITE p-GROUPS G WITH p > 2 AND d(G) > 2 HAVING EXACTLY ONE MAXIMAL SUBGROUP WHICH IS NEITHER ABELIAN NOR MINIMAL NONABELIAN

被引：1

作者：

Janko, Zvonimir ^{[1
]}

机构：

[1] Univ Heidelberg, Math Inst, D-69120 Heidelberg, Germany

来源：

GLASNIK MATEMATICKI | 2011年 / 46卷 / 01期

关键词：

Minimal nonabelian p-groups; A(2)-groups; metacyclic p-groups; Frattini subgroups; Hall-Petrescu formula; generators and relations; congruences mod p;

D O I：

10.3336/gm.46.1.11

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give here a complete classification (up to isomorphism) of the title groups (Theorems 1, 3 and 5). The corresponding problem for p = 2 was solved in [4] and for p > 2 with d(G) = 2 was solved in [5]. This gives a complete solution of the problem Nr. 861 of Y. Berkovich stated in [2].

引用

页码：103 / 120

页数：18

FINITE p-GROUPS G WITH p &gt; 2 AND d(G) &gt; 2 HAVING EXACTLY ONE MAXIMAL SUBGROUP WHICH IS NEITHER ABELIAN NOR MINIMAL NONABELIAN

FINITE p-GROUPS G WITH p > 2 AND d(G) > 2 HAVING EXACTLY ONE MAXIMAL SUBGROUP WHICH IS NEITHER ABELIAN NOR MINIMAL NONABELIAN