On 3-generated 6-transposition groups
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866917699067576320 |
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| author | Afanasev, Vsevolod A. Mamontov, Andrey |
| author_facet | Afanasev, Vsevolod A. Mamontov, Andrey |
| contents | We study $6$-transposition groups, i.e. groups generated by a normal set of involutions $D$, such that the order of the product of any two elements from $D$ does not exceed $6$. We classify most of the groups generated by $3$ elements from $D$, two of which commute, and prove they are finite. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_14144 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On 3-generated 6-transposition groups Afanasev, Vsevolod A. Mamontov, Andrey Group Theory We study $6$-transposition groups, i.e. groups generated by a normal set of involutions $D$, such that the order of the product of any two elements from $D$ does not exceed $6$. We classify most of the groups generated by $3$ elements from $D$, two of which commute, and prove they are finite. |
| title | On 3-generated 6-transposition groups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2303.14144 |