
Title

The residually weakly primitive geometries of the Suzuki simple group Sz(8)

Author

Dimitri Leemans

Reference

In C.M. Campbell et al. (editors), Groups St Andrews, II , London Math. Soc. Lect. Notes 261(1999), 517526.

Math. Reviews

2000h:51025

Zentralblatt

934.51009

Abstract

We determine all firm and residually connected geometries on which
the group Sz(8) acts flagtransitively and residually weakly
primitively. This work was the starting point of a more ambitious work:
trying to classify all geometries of a Suzuki simple group Sz(q). The case
q = 8 which is completely determined here, is the smallest case and the only
one that is currently possible to analyse completely using the computer algebra
package Magma. The rank 2 case was classified for all q in "The Rank 2 Geometries of the Simple Suzuki Groups Sz(q)".
The results obtained in this paper rely partially on computer algebra.
A file containing all the RWPRI geometries of Sz(8) as sequences of sequences
of subgroups that can be read using Magma can be obtained by clicking
here.


