On minimal epimorphic subgroups in simple algebraic groups of rank $2

On minimal epimorphic subgroups in simple algebraic groups of rank $2

The category of linear algebraic groups admits non-surjective epimorphisms. For simple algebraic groups of rank $2$ defined over algebraically closed fields, we show that the minimal dimension of a closed epimorphic subgroup is $3$.

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Hauptverfasser: Simion, Iulian I, Testerman, Donna M
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Group Theory
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Zusammenfassung:The category of linear algebraic groups admits non-surjective epimorphisms. For simple algebraic groups of rank $2$ defined over algebraically closed fields, we show that the minimal dimension of a closed epimorphic subgroup is $3$.
DOI:10.48550/arxiv.2303.17440