Epimorphic subgroups of simple algebraic groups
A homomorphism of linear algebraic groups ϕ:K→G is called an epimorphism if it admits right cancellation. A subgroup H≤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).
Authors
- Adam R. Thomas (ORCID: https://orcid.org/0000-0002-0620-5731)
- Donna Testerman (ORCID: https://orcid.org/0000-0002-4818-633X)
Publication Details
- Journal
- Journal of Algebra
- Published
- 2025-11-16
- DOI
- https://doi.org/10.1016/j.jalgebra.2025.10.040
- Primary Topic
- Finite Group Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
- Engineering and Physical Sciences Research Council