One-sided $S$-systems of operations and character-free proof of Frobenius theorem
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929609565536256 |
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| author | Kuznetsov, Eugene |
| author_facet | Kuznetsov, Eugene |
| contents | In this work, the author gives a character-free proof of the Frobenius theorem. The new proof is based on some notions and results from the theory of ternary operations, the theory of orthogonal binary operations, the theory of transversals in groups and the theory of quasigroups and loops. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_00712 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | One-sided $S$-systems of operations and character-free proof of Frobenius theorem Kuznetsov, Eugene Group Theory 20B05 (Primary) 20N05, 20N10, 05B15 (Secondary) In this work, the author gives a character-free proof of the Frobenius theorem. The new proof is based on some notions and results from the theory of ternary operations, the theory of orthogonal binary operations, the theory of transversals in groups and the theory of quasigroups and loops. |
| title | One-sided $S$-systems of operations and character-free proof of Frobenius theorem |
| topic | Group Theory 20B05 (Primary) 20N05, 20N10, 05B15 (Secondary) |
| url | https://arxiv.org/abs/2412.00712 |