Structure of the Macdonald groups in one parameter
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866917562943537152 |
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| author | Ocampo, Alexander Montoya Szechtman, Fernando |
| author_facet | Ocampo, Alexander Montoya Szechtman, Fernando |
| contents | Consider the Macdonald groups $G(α)=\langle A,B\,|\, A^{[A,B]}=A^α,\, B^{[B,A]}=B^α\rangle$, $α\in{\mathbf Z}$. We fill a gap in Macdonald's proof that $G(α)$ is always nilpotent, and proceed to determine the order, upper and lower central series, nilpotency class, and exponent of $G(α)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_07079 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Structure of the Macdonald groups in one parameter Ocampo, Alexander Montoya Szechtman, Fernando Group Theory Consider the Macdonald groups $G(α)=\langle A,B\,|\, A^{[A,B]}=A^α,\, B^{[B,A]}=B^α\rangle$, $α\in{\mathbf Z}$. We fill a gap in Macdonald's proof that $G(α)$ is always nilpotent, and proceed to determine the order, upper and lower central series, nilpotency class, and exponent of $G(α)$. |
| title | Structure of the Macdonald groups in one parameter |
| topic | Group Theory |
| url | https://arxiv.org/abs/2302.07079 |