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, 65-79.
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 flag-transitive 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.

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