On the Decomposition Numbers of the Ree Groups 2F4(q²) in Non-Defining Characteristic
classification
🧮 math.RT
math.GR
keywords
decompositionmatricesgroupsl-modularprimescharacteristiccharacterscompute
read the original abstract
We compute the l-modular decomposition matrices of the simple Ree groups 2F4(q^2), where q^2=2^{2n+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(q^2) for all primes l > 3. We also obtain results on the 3-modular decomposition matrices of 2F4(q^2).
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.