Decomposition Numbers and Cartan Invariants of Sp(4,q), q = 2ⁿ, for p = 2*

Abstract

Let G be the 4-dimensional sympletic group on a finite field of q elements, q a power of 2. We find all the decomposition numbers of G in characteristic 2, corresponding to the unipotent characters of G. We also find some of the Cartan invariants of G for p = 2.

Key Words:

• Cartan invariant
• Decomposition number
• Group

Mathematics Subject Classification:

• Primary 20C20
• Secondary 20C33

Notes

Communicated by A. Turull.