Groups whose non-normal subgroups have small commutator subgroup

被引：0
作者：
De Falco, M. [1 ]
de Giovanni, F. [1 ]
Musella, C. [1 ]
机构：
[1] Dipartimento Matemat &Applicaz, Via Cintia, I-80126 Naples, Italy
来源：
ALGEBRA & DISCRETE MATHEMATICS | 2007年 / 03期
关键词：
normal subgroup; commutator subgroup;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The structure of groups whose non-normal subgroups have a finite commutator subgroup is investigated. In particular, articular, it is proved that if k is a positive integer and G is a locally graded group in which every non-normal subgroup has finite commutator subgroup of order at most k, then the commutator subgroup of G is finite. Moreover, groups with finitely many normalizers of subgroups with large commutator subgroup are studied.
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页码：46 / 58
页数：13
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