Non-simple localizations of finite simple groups
Copyright policy )Non-simple localizations of finite simple groups
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.
10 pages
- Autonomous University of Barcelona Spain
- University of Almería Spain
- University of Malaga Spain
Algebra and Number Theory, Category of groups, automorphism groups, Group Theory (math.GR), Finite simple groups, localizations, Localization, Localization and completion in homotopy theory, finite simple groups, FOS: Mathematics, Algebraic Topology (math.AT), Finite simple groups and their classification, Mathematics - Algebraic Topology, categories of groups, universal central extensions, Mathematics - Group Theory
Algebra and Number Theory, Category of groups, automorphism groups, Group Theory (math.GR), Finite simple groups, localizations, Localization, Localization and completion in homotopy theory, finite simple groups, FOS: Mathematics, Algebraic Topology (math.AT), Finite simple groups and their classification, Mathematics - Algebraic Topology, categories of groups, universal central extensions, Mathematics - Group Theory
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