Non-simple localizations of finite simple groups

被引：4
|
作者：
Rodriguez, Jose L.
Scherer, Jerome [1 ]
Viruel, Antonio
机构：
[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain
[2] Univ Almeria, Area Geometria & Topol, E-04120 Almeria, Spain
[3] Univ Malaga, Dept Geometria & Topol, E-29071 Malaga, Spain
来源：
JOURNAL OF ALGEBRA | 2006年 / 305卷 / 02期
关键词：
localization; finite simple groups;
D O I：
10.1016/j.jalgebra.2006.06.041
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Often a localization functor (in the category of groups) sends a finite simple group to another finite simple group. We study when such a localization also induces a localization between the automorphism groups and between the universal central extensions. As a consequence we exhibit many examples of localizations of finite simple groups which are not simple. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码：765 / 774
页数：10
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