| Frank Lübeck |
Numbers of Conjugacy Classes in Some Series of Finite Groups of Lie Type
Many of the numbers given below can be extracted from published papers, sometimes they are explicitly given and sometimes they can in principle be computed from given data. The results given here were obtained independently with computer programs written by the page author. These are based on the CHEVIE package for GAP 3.
The groups within a fixed series of finite groups of Lie type are parameterized by a number q which runs through the set of all prime powers, with the exception of the Suzuki and Ree groups for which q2 runs through all odd powers of 2 or 3, respectively. It turns out that all numbers here can be given by polynomials evaluated at q, when the series of groups and the congruence class of q modulo some number m (which depends on the type of the groups) are fixed.
Last updated: Wed Jul 14 23:34:45 2004 (CET)