| Autor: |
Leonid A. Kurdachenko, Patrizia Longobardi, Mercede Maj |
| Jazyk: |
angličtina |
| Rok vydání: |
2020 |
| Předmět: |
|
| Zdroj: |
Advances in Group Theory and Applications, Vol 10, Pp 9-41 (2020) |
| Druh dokumentu: |
article |
| ISSN: |
2499-1287 |
| DOI: |
10.32037/agta-2020-008 |
| Popis: |
We study groups in which the non-normal subgroups fall into finitely many isomorphism classes. We prove that a locally generalized radical group with this property is abelian-by-finite and minimax. Here a generalized radical group is a group with an ascending series whose factors are either locally nilpotent or locally finite. We give also a complete description of locally finite groups with finitely many classes of non-normal subgroups. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
|
