Bi-twisted conjugacy in finite groups
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866910037839970304 |
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| author | Senden, Pieter Tertooy, Sam |
| author_facet | Senden, Pieter Tertooy, Sam |
| contents | We provide two alternative ways to determine the number of (bi-)twisted conjugacy classes in a finite group: one by counting certain irreducible characters and one by counting certain twisted conjugacy classes of other endomorphisms. In addition, we show various inequalities and congruences for Reidemeister numbers, as well as relations between bi-twisted conjugacy, representation theory, and fixed-point free automorphisms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_01679 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Bi-twisted conjugacy in finite groups Senden, Pieter Tertooy, Sam Group Theory 20D45 (Primary) 20E45 (Secondary) We provide two alternative ways to determine the number of (bi-)twisted conjugacy classes in a finite group: one by counting certain irreducible characters and one by counting certain twisted conjugacy classes of other endomorphisms. In addition, we show various inequalities and congruences for Reidemeister numbers, as well as relations between bi-twisted conjugacy, representation theory, and fixed-point free automorphisms. |
| title | Bi-twisted conjugacy in finite groups |
| topic | Group Theory 20D45 (Primary) 20E45 (Secondary) |
| url | https://arxiv.org/abs/2603.01679 |