Epimorphic subgroups of simple algebraic groups

2025/05/02 by Testerman, Donna M., Thomas, Adam R.
#20G07 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2505.01304

Abstract

A morphism 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).

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