Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.00213 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913919950389248 |
|---|---|
| author | Barré, Sylvain Pichot, Mikaël |
| author_facet | Barré, Sylvain Pichot, Mikaël |
| contents | The group of automorphisms of the free group on two generators is known to act geometrically, in an essentially unique way, on a 2-dimensional CAT(0) space X. We prove that X contains precisely two Hamiltonian surfaces. By this we mean a surface in X which visits every vertex and every edge precisely once. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_00213 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Hamiltonian surface of $\Aut(F_2)$ Barré, Sylvain Pichot, Mikaël Group Theory The group of automorphisms of the free group on two generators is known to act geometrically, in an essentially unique way, on a 2-dimensional CAT(0) space X. We prove that X contains precisely two Hamiltonian surfaces. By this we mean a surface in X which visits every vertex and every edge precisely once. |
| title | The Hamiltonian surface of $\Aut(F_2)$ |
| topic | Group Theory |
| url | https://arxiv.org/abs/2507.00213 |