Non-simple localizations of finite simple groups

José L. Rodríguez; Jérôme Scherer; Antonio Viruel

doi:10.1016/j.jalgebra.2006.06.041

Non-simple localizations of finite simple groups

José L. Rodríguez, Jérôme Scherer, Antonio Viruel

Departament de Matemàtiques

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Resum

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. © 2006 Elsevier Inc. All rights reserved.

Idioma original	Anglès
Pàgines (de-a)	765-774
Revista	Journal of Algebra
Volum	305
Número	2
DOIs	https://doi.org/10.1016/j.jalgebra.2006.06.041
Estat de la publicació	Publicada - 15 de nov. 2006

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10.1016/j.jalgebra.2006.06.041

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https://www.scopus.com/pages/publications/33749241162

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title = "Non-simple localizations of finite simple groups",

abstract = "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. {\textcopyright} 2006 Elsevier Inc. All rights reserved.",

keywords = "Finite simple groups, Localization",

author = "Rodr{\'i}guez, \{Jos{\'e} L.\} and J{\'e}r{\^o}me Scherer and Antonio Viruel",

year = "2006",

month = nov,

day = "15",

doi = "10.1016/j.jalgebra.2006.06.041",

language = "English",

volume = "305",

pages = "765--774",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

number = "2",

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TY - JOUR

T1 - Non-simple localizations of finite simple groups

AU - Rodríguez, José L.

AU - Scherer, Jérôme

AU - Viruel, Antonio

PY - 2006/11/15

Y1 - 2006/11/15

N2 - 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. © 2006 Elsevier Inc. All rights reserved.

AB - 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. © 2006 Elsevier Inc. All rights reserved.

KW - Finite simple groups

KW - Localization

UR - https://www.scopus.com/pages/publications/33749241162

U2 - 10.1016/j.jalgebra.2006.06.041

DO - 10.1016/j.jalgebra.2006.06.041

M3 - Article

SN - 0021-8693

VL - 305

SP - 765

EP - 774

JO - Journal of Algebra

JF - Journal of Algebra

IS - 2

ER -

Non-simple localizations of finite simple groups

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