The half-automorphism group of code loops
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866912803006185472 |
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| author | de Barros, Dylene Agda Souza Grishkov, Alexandre Pires, Rosemary Miguel Rasskazova, Marina |
| author_facet | de Barros, Dylene Agda Souza Grishkov, Alexandre Pires, Rosemary Miguel Rasskazova, Marina |
| contents | For any code loop $L$, we prove that the half-automorphism group of $L$ is the product of the automorphism group of $L$ by an elementary abelian $2-$group consisting of all half-automorphisms that acts as the identity on a fixed basis. Also, we prove that elementary mappings only can be a half-automorphism on code loops of rank at most $3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_02355 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The half-automorphism group of code loops de Barros, Dylene Agda Souza Grishkov, Alexandre Pires, Rosemary Miguel Rasskazova, Marina Group Theory 20N05, 20B25 For any code loop $L$, we prove that the half-automorphism group of $L$ is the product of the automorphism group of $L$ by an elementary abelian $2-$group consisting of all half-automorphisms that acts as the identity on a fixed basis. Also, we prove that elementary mappings only can be a half-automorphism on code loops of rank at most $3$. |
| title | The half-automorphism group of code loops |
| topic | Group Theory 20N05, 20B25 |
| url | https://arxiv.org/abs/2601.02355 |