Non-simple localizations of finite simple groups

Details Non-simple localizations of finite simple groups Non-simple localizations of finite simple groups

2002-10-25

arxiv.org/abs/math/0210405v1

Mathematics

Algebraic Topology

10 pages

Scientific paper

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.

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