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Character tables of the maximal parabolic subgroups of the Ree groups 2F4(q2)

Part of: Representation theory of groups

Published online by Cambridge University Press:  01 April 2010

Frank Himstedt  and
Shih-Chang Huang
Frank Himstedt
Affiliation:
Technische Universität München, Zentrum Mathematik – SB-S-MA, Boltzmannstrasse 3, 85748 Garching, Germany (email: himstedt@ma.tum.de)http://www-m11.ma.tum.de/∼himstedt
Shih-Chang Huang
Affiliation:
Department of Mathematics, National Cheng Kung University, No. 1 Dasyue Rd, Tainan City 70101, Taiwan (email: shua3@mail.ncku.edu.tw)http://www.math.ncku.edu.tw/∼shuang/

Abstract

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We compute the conjugacy classes of elements and the character tables of the maximal parabolic subgroups of the simple Ree groups 2F4(q2). For one of the maximal parabolic subgroups, we find an irreducible character of the unipotent radical that does not extend to its inertia subgroup.

MSC classification

Secondary: 20C33: Representations of finite groups of Lie type 20C40: Computational methods
Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 13 , January 2010 , pp. 90 - 110
Copyright
Copyright © London Mathematical Society 2010

References

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Supplementary material: File

Himstedt supplementary material

Appendix tables 5 & 9

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