Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.00889 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912635745730560 |
|---|---|
| author | Shpilrain, Vladimir |
| author_facet | Shpilrain, Vladimir |
| contents | In this survey, we describe recent progress on asymptotic properties of various automorphic orbits in free groups. In particular, we address the problem of counting potentially positive elements of a given length. We also discuss complexity (worst-case, average-case, and generic-case) of Whitehead's automorphism problem and relevant properties of automorphic orbits, including orbit-blocking words. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_00889 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Automorphic orbits in free groups: recent progress Shpilrain, Vladimir Group Theory In this survey, we describe recent progress on asymptotic properties of various automorphic orbits in free groups. In particular, we address the problem of counting potentially positive elements of a given length. We also discuss complexity (worst-case, average-case, and generic-case) of Whitehead's automorphism problem and relevant properties of automorphic orbits, including orbit-blocking words. |
| title | Automorphic orbits in free groups: recent progress |
| topic | Group Theory |
| url | https://arxiv.org/abs/2510.00889 |