Groups with polycyclic non-normal subgroups

被引:1
|
作者
Franciosi, S
de Giovanni, F
Newell, ML
机构
[1] Univ Naples Federico II, Dipartimento Matemat & Applicaz, I-80126 Naples, Italy
[2] Natl Univ Ireland Univ Coll Galway, Dept Math, Galway, Ireland
关键词
polycyclic subgroup; locally graded group;
D O I
10.1007/s10011-000-0033-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The structure of groups in which many subgroups have a certain property X has been investigated for several choices of the property X. Groups whose non-normal subgroups satisfy certain finite rank conditions are studied in this article. In particular, a classification of groups in which every subgroup is either normal or polycyclic is given. 1991 Mathematics Subject Classification: 20F16.
引用
收藏
页码:33 / 42
页数:10
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