Block-transitive t-(k^2,k,\lam) designs and simple exceptional groups of Lie type
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909752888393728 |
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| author | Chen, Xingyu Guan, Haiyan |
| author_facet | Chen, Xingyu Guan, Haiyan |
| contents | Let G be an automorphism group of a nontrivial t-(k^2,k,λ) design. In this paper, we prove that if G is block-transitive, then the socle of G cannot be a finite simple exceptional group of Lie type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_18660 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Block-transitive t-(k^2,k,\lam) designs and simple exceptional groups of Lie type Chen, Xingyu Guan, Haiyan Group Theory Combinatorics Let G be an automorphism group of a nontrivial t-(k^2,k,λ) design. In this paper, we prove that if G is block-transitive, then the socle of G cannot be a finite simple exceptional group of Lie type. |
| title | Block-transitive t-(k^2,k,\lam) designs and simple exceptional groups of Lie type |
| topic | Group Theory Combinatorics |
| url | https://arxiv.org/abs/2508.18660 |