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Two maximal subgroups of E8(2)

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Abstract

We show that E8(2) has a unique conjugacy class of subgroups isomorphic to PSp4(5) and a unique conjugacy class of subgroups isomorphic to PSL3(5). There normalizers are maximal subgroups of E8(2) and are, respectively, isomorphic to PGSp4(5) and Aut(PSL3(5)).

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Authors and Affiliations

  1. School of Mathematics, 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. Two maximal subgroups of E8(2). Isr. J. Math. 153, 307–318 (2006). https://doi.org/10.1007/BF02771788

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