On the number of commutators in groups

被引：0

作者：

Herzog, Marcel ^{[1
]}

Longobardi, Patrizia ^{[1
]}

Maj, Mercede ^{[1
]}

机构：

[1] Tel Aviv Univ, Sch Math Sci, Raymond & Beverly Sackler Fac Exact Sci, IL-69978 Tel Aviv, Israel

来源：

Ischia Group Theory 2004, Proceedings | 2006年 / 402卷

关键词：

groups; commutators; solvable groups; locally graded groups; simple groups;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study non-abelian groups with G' = H' for any non-abelian subgroup H of G. We also study groups with finitely many commutator subgroups. Groups with a finite number of commutator subgroups are called C-groups. It is shown, among other things, that a C-group C must have its commutator subgroup finitely generated. Moreover, a group G has a finite commutator subgroup if and only if G is a locally graded C-group.

引用

页码：181 / 192

页数：12