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.
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页码：881 / 887
页数：7
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