A just-infinite iterated monodromy group without the congruence subgroup property
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866909623122919424 |
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| author | Radi, Santiago |
| author_facet | Radi, Santiago |
| contents | We prove that the iterated monodromy group of the polynomial $z^2+i$ is just-infinite, regular branch and does not have the congruence subgroup property. This yields the first example of an iterated monodromy group of a polynomial with these properties. Additional information is provided about the congruence kernel, rigid kernel and branch kernel of this group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_19649 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A just-infinite iterated monodromy group without the congruence subgroup property Radi, Santiago Group Theory We prove that the iterated monodromy group of the polynomial $z^2+i$ is just-infinite, regular branch and does not have the congruence subgroup property. This yields the first example of an iterated monodromy group of a polynomial with these properties. Additional information is provided about the congruence kernel, rigid kernel and branch kernel of this group. |
| title | A just-infinite iterated monodromy group without the congruence subgroup property |
| topic | Group Theory |
| url | https://arxiv.org/abs/2505.19649 |