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.

10 pages

References in corpus (2)

• Preservation of perfectness and acyclicity; Berrick and Casacuberta's universal acyclic space localized at a set of primes
• Finite simple groups and localization