The Computation of the 3-Modular Characters of the Fischer Group Fi₂₃^*

ABSTRACT

We determine the 35 irreducible 3-modular characters of the Fischer group Fi₂₃. This completes the calculation of all modular character tables of this group.

KEYWORDS:

• modular characters
• sporadic groups
• condensation

2000 AMS SUBJECT CLASSIFICATION:

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Acknowledgments

We would like to thank the following institutions for computing support in particular for the access and generous CPU time on several HPC computers: the Department of Computer Science, St. Andrews, Scotland, the Computer Cluster Service of RWTH Aachen University, Germany, the University of Arizona High Performance Computing facilities, Lehrstuhl B für Mathematik, RWTH Aachen University, Germany, and the Computer Science Department, Queens College, New York, U.S.A. We also would like to thank F. Lübeck for fruitful discussions.