Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.13449 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916032153649152 |
|---|---|
| author | Zhao, Dongxiao Zhang, Qiang |
| author_facet | Zhao, Dongxiao Zhang, Qiang |
| contents | A word in a group is called a test element if any endomorphism fixing it is necessarily an automorphism. In this note, we give a sufficient condition in geometry to construct test elements for monomorphisms of a free group, by using the Whitehead graph and the action of the free group on its Cayley graph. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_13449 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on test elements for monomorphisms of free groups Zhao, Dongxiao Zhang, Qiang Group Theory A word in a group is called a test element if any endomorphism fixing it is necessarily an automorphism. In this note, we give a sufficient condition in geometry to construct test elements for monomorphisms of a free group, by using the Whitehead graph and the action of the free group on its Cayley graph. |
| title | A note on test elements for monomorphisms of free groups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2408.13449 |