The category of centralizer lattices of groups
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2026
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866911683689054208 |
|---|---|
| author | Cocke, William Lewis, Mark L. McCulloch, Ryan |
| author_facet | Cocke, William Lewis, Mark L. McCulloch, Ryan |
| contents | We formalize the concept of a centralizer-respecting homomorphism, surjective homomorphisms which are equivariant with respect to taking the centralizer of a subgroup. There is a functor from the category of centralizer-respecting homomorphisms to the category of centralizer lattices. Finally, we conclude with some theorems about centralizer-respecting homomorphisms that show that the category of centralizer-respecting homomorphisms has many interesting maps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_14095 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The category of centralizer lattices of groups Cocke, William Lewis, Mark L. McCulloch, Ryan Group Theory Primary 20E15, 20D15 We formalize the concept of a centralizer-respecting homomorphism, surjective homomorphisms which are equivariant with respect to taking the centralizer of a subgroup. There is a functor from the category of centralizer-respecting homomorphisms to the category of centralizer lattices. Finally, we conclude with some theorems about centralizer-respecting homomorphisms that show that the category of centralizer-respecting homomorphisms has many interesting maps. |
| title | The category of centralizer lattices of groups |
| topic | Group Theory Primary 20E15, 20D15 |
| url | https://arxiv.org/abs/2605.14095 |