On the full automorphism groups of $2$-designs constructed from finite fields ${\mathbb F}_{2^n}$
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866913851924021248 |
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| author | Le, Tung Rodrigues, B. G. |
| author_facet | Le, Tung Rodrigues, B. G. |
| contents | In this manuscript, for $q:=2^n$ with $n\geq2$, we study two primitive maximal subgroups of the alternating group ${\sf A}_{q-1}$. These subgroups are the full automorphism groups of $2$-designs which are constructed from algebraic curves over the finite field ${\mathbb F}_q$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_16009 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the full automorphism groups of $2$-designs constructed from finite fields ${\mathbb F}_{2^n}$ Le, Tung Rodrigues, B. G. Group Theory Combinatorics 05B05, 12E05, 20B15, 20B25, 20B35, 20D06 In this manuscript, for $q:=2^n$ with $n\geq2$, we study two primitive maximal subgroups of the alternating group ${\sf A}_{q-1}$. These subgroups are the full automorphism groups of $2$-designs which are constructed from algebraic curves over the finite field ${\mathbb F}_q$. |
| title | On the full automorphism groups of $2$-designs constructed from finite fields ${\mathbb F}_{2^n}$ |
| topic | Group Theory Combinatorics 05B05, 12E05, 20B15, 20B25, 20B35, 20D06 |
| url | https://arxiv.org/abs/2505.16009 |