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Non-simple localizations of finite simple groups

代数拓扑 2018-04-16 v1 群论

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.

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引用

@article{arxiv.math/0210405,
  title  = {Non-simple localizations of finite simple groups},
  author = {José L. Rodríguez and Jérôme Scherer and Antonio Viruel},
  journal= {arXiv preprint arXiv:math/0210405},
  year   = {2018}
}

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10 pages