Low complexity among principal fully irreducible elements of Out($F_3$)
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866917921781972992 |
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| author | Andrew, Naomi Hillen, Paige Lyman, Robert Alonzo Pfaff, Catherine Eva |
| author_facet | Andrew, Naomi Hillen, Paige Lyman, Robert Alonzo Pfaff, Catherine Eva |
| contents | We find the shortest realized stretch factor for a fully irreducible $φ\in\mathrm{Out}(F_3)$ and show that it is realized by a "principal" fully irreducible element. We also show that it is the only principal fully irreducible produced by a single fold in any rank. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_03681 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Low complexity among principal fully irreducible elements of Out($F_3$) Andrew, Naomi Hillen, Paige Lyman, Robert Alonzo Pfaff, Catherine Eva Group Theory 20E05 (Primary) 20E36, 20F28, 20F65 (Secondary) We find the shortest realized stretch factor for a fully irreducible $φ\in\mathrm{Out}(F_3)$ and show that it is realized by a "principal" fully irreducible element. We also show that it is the only principal fully irreducible produced by a single fold in any rank. |
| title | Low complexity among principal fully irreducible elements of Out($F_3$) |
| topic | Group Theory 20E05 (Primary) 20E36, 20F28, 20F65 (Secondary) |
| url | https://arxiv.org/abs/2405.03681 |