Arboreal Galois groups of postcritically finite quadratic polynomials: The periodic case
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912475107033088 |
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| author | Benedetto, Robert L. Ghioca, Dragos Juul, Jamie Tucker, Thomas J. |
| author_facet | Benedetto, Robert L. Ghioca, Dragos Juul, Jamie Tucker, Thomas J. |
| contents | We provide an explicit construction of the arboreal Galois group for the postcritically finite polynomial $f(z) = z^2 +c$, where $c$ belongs to some arbitrary field of characteristic not equal to $2$. In this first of two papers, we consider the case that the critical point is periodic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_06745 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Arboreal Galois groups of postcritically finite quadratic polynomials: The periodic case Benedetto, Robert L. Ghioca, Dragos Juul, Jamie Tucker, Thomas J. Number Theory We provide an explicit construction of the arboreal Galois group for the postcritically finite polynomial $f(z) = z^2 +c$, where $c$ belongs to some arbitrary field of characteristic not equal to $2$. In this first of two papers, we consider the case that the critical point is periodic. |
| title | Arboreal Galois groups of postcritically finite quadratic polynomials: The periodic case |
| topic | Number Theory |
| url | https://arxiv.org/abs/2411.06745 |