On point and block primitive designs invariant under permutation groups
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866914949549260800 |
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| author | Saeidi, Amin |
| author_facet | Saeidi, Amin |
| contents | In this paper, we present a method for constructing point primitive block transitive $t$-designs invariant under finite groups. Furthermore, we demonstrate that every point and block primitive $G$-invariant design can be generated using this method.
Additionally, we establish the theoretical possibility of identifying all block transitive $G$-invariant designs. However, in practice, the feasibility of enumerating all designs for larger groups may be limited by the computational complexity involved. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_09730 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On point and block primitive designs invariant under permutation groups Saeidi, Amin Combinatorics 05e16, 05b05 In this paper, we present a method for constructing point primitive block transitive $t$-designs invariant under finite groups. Furthermore, we demonstrate that every point and block primitive $G$-invariant design can be generated using this method. Additionally, we establish the theoretical possibility of identifying all block transitive $G$-invariant designs. However, in practice, the feasibility of enumerating all designs for larger groups may be limited by the computational complexity involved. |
| title | On point and block primitive designs invariant under permutation groups |
| topic | Combinatorics 05e16, 05b05 |
| url | https://arxiv.org/abs/2409.09730 |