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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.12447 |
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| _version_ | 1866909351993671680 |
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| author | Berceanu, Barbu Rudolf |
| author_facet | Berceanu, Barbu Rudolf |
| contents | We recall the fundamental theorem of J.F. Ritt, with a stress on the action of the affine group and canonical forms of complex polynomials. Then we give a complete presentation of the monoid $(\mathbb{C}\mbox{[X]},\circ)$. A list of decomposable polynomials is given in degrees $\leq 12$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_12447 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A complete presentation of $(\mathbb{C}\mbox{[X]},\circ)$ Berceanu, Barbu Rudolf Group Theory Primary: 08A40, 08A50, 12E05. Secondary: 20M05 We recall the fundamental theorem of J.F. Ritt, with a stress on the action of the affine group and canonical forms of complex polynomials. Then we give a complete presentation of the monoid $(\mathbb{C}\mbox{[X]},\circ)$. A list of decomposable polynomials is given in degrees $\leq 12$. |
| title | A complete presentation of $(\mathbb{C}\mbox{[X]},\circ)$ |
| topic | Group Theory Primary: 08A40, 08A50, 12E05. Secondary: 20M05 |
| url | https://arxiv.org/abs/2410.12447 |