The Hurwitz Subgroups of E₆(2)
classification
🧮 math.GR
keywords
hurwitzgroupsubgroupsclassificationcompleteconjugacycourseexceptional
read the original abstract
We prove that the exceptional group $E_6(2)$ is not a Hurwitz group. In the course of proving this, we complete the classification up to conjugacy of all Hurwitz subgroups of $E_6(2)$, in particular, those isomorphic to $L_2(8)$ and $L_3(2)$.
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