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| Format: | Preprint |
| Published: |
2024
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| Online Access: | https://arxiv.org/abs/2401.15191 |
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| _version_ | 1866915025612963840 |
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| author | Gaifullin, Alexander A. |
| author_facet | Gaifullin, Alexander A. |
| contents | In 2022, V. M. Buchstaber, A. P. Veselov, and the author proved a number of classification results for involutive commutative two-valued groups, including a complete classification in the finitely generated case. In the present note, we prove that any involutive two-valued group is commutative, so all these results are valid without the assumption of commutativity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_15191 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Commutativity of involutive two-valued groups Gaifullin, Alexander A. Group Theory 20N99, 08A05 In 2022, V. M. Buchstaber, A. P. Veselov, and the author proved a number of classification results for involutive commutative two-valued groups, including a complete classification in the finitely generated case. In the present note, we prove that any involutive two-valued group is commutative, so all these results are valid without the assumption of commutativity. |
| title | Commutativity of involutive two-valued groups |
| topic | Group Theory 20N99, 08A05 |
| url | https://arxiv.org/abs/2401.15191 |