Groups with many subgroups which are commensurable with some normal subgroup
| Autor: | Dardano U., Rinauro S. |
|---|---|
| Přispěvatelé: | Dardano, U., Rinauro, S. |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: | |
| Popis: | A subgroup H of a group G is called commensurable with a normal subgroup (cn) if there is N C G such that |HN/(H ∩ N)| is finite. We characterize generalized radical groups G which have one of the following finiteness conditions: (A) the minimal condition on non-cn subgroups of G; (B) the non-cn subgroups of G fall into finitely many conjugacy classes; (C) the non-cn subgroups of G have finite rank |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|