Lifting criteria of closed curves on surfaces to finite covers
| Autor: | Das, Deblina, Kabiraj, Arpan |
|---|---|
| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We study the lifts of the closed curves in the bouquet of $n$ circles to a finite sheeted normal covering. For a class of normal covers, we give necessary and sufficient conditions for a closed curve to lift. As a consequence, we prove that a free group with $n$ $ (\geq 2)$ generators can be written as the union of subgroups of index $l$ where $l=2,3$. Comment: 20 pages, 8 figures. Comments welcome |
| Databáze: | arXiv |
| Externí odkaz: |
|