Epimorphic subgroups of simple algebraic groups
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913816401412096 |
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| author | Testerman, Donna M. Thomas, Adam R. |
| author_facet | Testerman, Donna M. Thomas, Adam R. |
| contents | A morphism of linear algebraic groups $ϕ:K\rightarrow G$ is called an epimorphism if it admits right cancellation. A subgroup $H\leq G$ is epimorphic if the inclusion map is an epimorphism. For $G$ a simple algebraic group over an algebraically closed field of arbitrary characteristic we construct epimorphic subgroups of bounded dimension (at most five). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_01304 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Epimorphic subgroups of simple algebraic groups Testerman, Donna M. Thomas, Adam R. Group Theory 20G07 A morphism of linear algebraic groups $ϕ:K\rightarrow G$ is called an epimorphism if it admits right cancellation. A subgroup $H\leq G$ is epimorphic if the inclusion map is an epimorphism. For $G$ a simple algebraic group over an algebraically closed field of arbitrary characteristic we construct epimorphic subgroups of bounded dimension (at most five). |
| title | Epimorphic subgroups of simple algebraic groups |
| topic | Group Theory 20G07 |
| url | https://arxiv.org/abs/2505.01304 |