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Localization and finite simple groups

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Abstract

A homomorphism from a groupH to a groupG is a localization if and only if it induces a bijection between Hom(G, G) and Hom(H, G). In this paper we study the equivalence relation that localization induces on the family of finite non-abelian simple groups.

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Authors and Affiliations

  1. School of Mathematics and Statistics, University of Birmingham, B15 2TT, Edgbaston, Birmingham, UK

    Chris Parker

  2. Department of Pure Mathematics and Mathematical Statistics Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, CB3 0WB, Cambridge, UK

    Jan Saxl

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  1. Chris Parker
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  2. Jan Saxl
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Correspondence to Chris Parker.

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Parker, C., Saxl, J. Localization and finite simple groups. Isr. J. Math. 153, 285–305 (2006). https://doi.org/10.1007/BF02771787

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  • DOI: https://doi.org/10.1007/BF02771787

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