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arXiv · 2505.01304

Epimorphic subgroups of simple algebraic groups

Donna M. Testerman·Adam R. Thomas
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Abstract

A morphism of linear algebraic groups $\phi:K\rightarrow G$ 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).

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Donna M. Testerman, Adam R. Thomas. 2025-05-02. Epimorphic subgroups of simple algebraic groups. https://arxiv.org/abs/2505.01304

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