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/).
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页数：16
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