Character Table of a Borel Subgroup of the Ree Groups 2F4(q2)

Author:

Himstedt Frank,Huang Shih-Chang

Abstract

AbstractWe compute the conjugacy classes and character table of a Borel subgroup of the Ree groups 2F4(22n+1) for all n ≥ 1 and prove that these Borel subgroups are M-groups. We determine the degrees of the irreducible characters of the Sylow-2-subgroups of 2F4(22n+1) and show that the Isaacs–Malle–Navarro version of the McKay conjecture holds for 2F4(22n+1) in characteristic 2. For most of the calculations we use CHEVIE.

Publisher

Wiley

Subject

Computational Theory and Mathematics,General Mathematics

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