ON 3-GENERATED 2-GROUPS WHOSE MAXIMAL SUBGROUPS ARE 2-GENERATED

被引：0

作者：

Crestani, Eleonora ^{[1
]}

机构：

[1] Univ Padua, Dipartimento Matemat Pura & Applicata, I-35121 Padua, Italy

来源：

COMMUNICATIONS IN ALGEBRA | 2011年 / 39卷 / 03期

关键词：

Generated groups; 2-Groups; Generators; FINITE P-GROUPS;

D O I：

10.1080/00927871003601675

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Berkovich and Janko in [1] show that a p-group not 2-generated and all of whose maximal subgroups are 2-generated has nilpotency class at most 2, when p is odd. In this article, we show that when p = 2, the nilpotency class of 2-groups not 2-generated and all of whose maximal subgroups are 2-generated is not bounded.

引用

页码：881 / 887

页数：7

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