On the Decomposition Numbers of the Ree Groups 2F4(q²) in Non-Defining Characteristic

الأصل · EN

We compute the l-modular decomposition matrices of the simple Ree groups 2F4(q²), where q²=2²ⁿ⁺¹ and n is a positive integer, for all primes l > 3 up to some entries in the unipotent characters. Using these matrices we determine the smallest degree of a non-trivial irreducible l-modular representation of 2F4(q²) for all primes l > 3. We also obtain results on the 3-modular decomposition matrices of 2F4(q²).