Character table of a Borel subgroup of the Ree groups 2F4(q2)
Frank Himstedt and Shih-chang Huang
Abstract: We 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.
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In addition to the paper, the following electronic appendices are available
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Appendix A : |
This appendix contains a CHEVIE file with the generic character table of the Borel subgroup B presented in the paper.
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