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

2009/10/11 by Frank Himstedt, Himstedt, Frank · 1 citation
Mathematics · Computer Science · Engineering · #Finite Group Theory Research #Coding theory and cryptography #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.0910.1991

Abstract

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).

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