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

页码：765 / 774

页数：10

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