On the restriction of cross characteristic representations of 2F4(q) to proper subgroups
We prove that the restriction of any nontrivial representation of the Ree groups 2F4(q), q = 22n+1 ≥ 8 in odd characteristic to any proper subgroup is reducible. We also determine all triples (K, V, H) such that $${K \in \{^2F_4(2), ^2F_4(2)'\} }$$ , H is a proper subgroup of K, and V is a representation of K in odd characteristic restricting absolutely irreducibly to H.