Algorithms for twisted conjugacy classes of polycyclic-by-finite groups II
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909023998050304 |
|---|---|
| author | Tertooy, Sam |
| author_facet | Tertooy, Sam |
| contents | We construct an algorithm that, given a pair of homomorphisms between polycyclic-by-finite groups, determines whether their Reidemeister number is finite, and if so returns a set of representatives of the twisted conjugacy classes. Moreover, we show how this algorithm can be applied to compute double cosets and orbits of affine actions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_03596 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Algorithms for twisted conjugacy classes of polycyclic-by-finite groups II Tertooy, Sam Group Theory 20-08 (Primary) 20E45, 20F10, 20F19 (Secondary) We construct an algorithm that, given a pair of homomorphisms between polycyclic-by-finite groups, determines whether their Reidemeister number is finite, and if so returns a set of representatives of the twisted conjugacy classes. Moreover, we show how this algorithm can be applied to compute double cosets and orbits of affine actions. |
| title | Algorithms for twisted conjugacy classes of polycyclic-by-finite groups II |
| topic | Group Theory 20-08 (Primary) 20E45, 20F10, 20F19 (Secondary) |
| url | https://arxiv.org/abs/2504.03596 |