On minimal epimorphic subgroups in simple algebraic groups of rank 2

被引：0

作者：

Simion, I. I. ^{[1
]}

Testerman, D. M. ^{[2
]}

机构：

[1] Babes Bolyai Univ, Dept Math, Str Ploiesti 23-25, Cluj Napoca 400157, Romania

[2] Ecole Polytech Fed Lausanne, Inst Math, Stn 8, CH-1015 Lausanne, Switzerland

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2024年 / 228卷 / 06期

基金：

瑞士国家科学基金会;

关键词：

Simple linear algebraic group; Epimorphic subgroup;

D O I：

10.1016/j.jpaa.2023.107572

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.(c) 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/).

引用

页数：16

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