Two maximal subgroups of E8(2) |
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Authors: | Chris Parker Jan Saxl |
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Affiliation: | (1) School of Mathematics, University of Birmingham, B15 2TT Edgbaston, Birmingham, UK;(2) Department of Pure Mathematics and Mathematical Statistics Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, CB3 0WB Cambridge, UK |
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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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