The generic character table of a Sylow p-subgroup of a finite Chevalley group of type D₄

ABSTRACT

Let U be a Sylow p-subgroup of the finite Chevalley group of type D₄ over the field of q elements, where q is a power of a prime p. We describe a construction of the generic character table of U.

KEYWORDS:

• Chevalley group
• generic character
• Sylow p-subgroup

1991 MATHEMATICS SUBJECT CLASSIFICATION:

• Primary: 20C33
• 20C15

Acknowledgments

We would like to thank the referee for many helpful suggestions that led to improvements in the paper. We also thank A. Paolini for pointing out some corrections. Part of this research was completed during a visit of the second author to the University of Birmingham; we thank the LMS for a grant to cover his expenses.