Maximal $\textrm {PSL}_2$ Subgroups of Exceptional Groups of Lie Type Jennifer Locasale-Crouch job security

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Maximal $\textrm {PSL}_2$ Subgroups of Exceptional Groups of Lie Type Jennifer Locasale-Crouch job securityWe study embeddings of PSL2(pa) into exceptional groups G(pb)forG = F4,E6,2E6,E7,andp aprimewitha,b positive integers. With a few possible exceptions, we prove that any almost simple group with socle PSL2(pa), that is maximal inside an almost simple exceptional group of Lie type F4, E6, 2E6 and E7, is the fixed points under the Frobenius map of a corresponding maximal closed subgroup of type A1 inside the algebraic group. Together with a recent result