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

来源：

ALGEBRA COLLOQUIUM | 2000年 / 7卷 / 01期

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

页码：33 / 42

页数：10

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