Hyperballeans of groups
In this paper we define some ballean structure on the power set of a group and, in particular, we study the subballean with support the lattice of all its subgroups. If $G$ is a group, we denote by $L(G)$ the family of all subgroups of $G$. For two groups $G$ and $H$, we relate their algebraic struc...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | In this paper we define some ballean structure on the power set of a group
and, in particular, we study the subballean with support the lattice of all its
subgroups. If $G$ is a group, we denote by $L(G)$ the family of all subgroups
of $G$. For two groups $G$ and $H$, we relate their algebraic structure via the
ballean structure of $L(G)$ and $L(H)$. |
|---|---|
| DOI: | 10.48550/arxiv.1902.01472 |