RMC - Vol. 8, Num. 1 - Ibrahim A. I. Suleiman

Full paper in PDF:
$%I. A. I. Suleiman, The 3-modular characters of the twisted Chevalley group ²D₄(2) and ²D₄·2, Rev. Mat. Univ. Complut. Madrid 8 (1995), no. 1, 49–59.%$

The 3-Modular Characters of the Twisted Chevalley Group ²D₄(2) and ²D₄·2

Ibrahim A. I. SULEIMAN

Department of Maths. and Stats.
Faculty of Science
Mu’tah University
61710 Al-Kerak, P.O. Box (7) — Jordan

Received: June 22, 1992

ABSTRACT

In this paper we calculate the 3-modular character table of the twisted Chevalley group $2D4(2)$ and its automorphism group $2D4(2).2$ . The “Meat-Axe” package for calculating modular characters over finite fields (Ryba (1990)) was used to calculate most of the characters. The method of “condensation,” which was explained in Suleiman (1990) was used to determine the complete character table. All these methods are explained later in this paper.

1991 Mathematics Subject Classification: 20C20.