
Title

The Residually Weakly Primitive Geometries of the Janko Group J(1)

Authors

Harald Gottschalk and Dimitri Leemans

Reference

In L. Di Martino, W.E. Kantor, G. Lunardon, A. Pasini (editors), Groups and Geometries, Birkhauser, 1998, 6579.

Math. Reviews

99h:51014

Zentralblatt

902.51006

Abstract

We classify all firm, residually connected coset geometries, on which the group
J(1) acts as a flagtransitive automorphism group fulfilling the primitivity
condition RWPRI: for each flag F, itrs stabilizer acts primitively on the
elements of some type in the residue of F. We demand also that every residue
of rank two satisfies the intersection property.
Download the RWPRI and (2T)_1 geometries of J_1 as a gzipped tarred magma file.


