The uniqueness of PSU₃(8) in the Monster
classification
🧮 math.GR
keywords
monstersubgroupscomputationsargumentclassconjugacycontributiondepends
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As a contribution to an eventual solution of the problem of determination of the maximal subgroups of the Monster we show that there is a unique conjugacy class of subgroups isomorphic to $PSU_3(8)$. The argument depends on some computations in various subgroups, but not on computations in the Monster itself.
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