We summarize the classification of all firm and residually connected geometries satisfying the conditions {\small $(IP)_2$} and {\small $(2T)_1$} and on which the Janko group {\small $J_3$} acts flag-transitively and residually weakly primitively. We state some facts regarding the results. The complete list of geometries is available as a supplement to this note [Leemans 03c].
@article{1109106434,
author = {Leemans, Dimitri},
title = {The Residually Weakly Primitive Geometries of $J\_3$},
journal = {Experiment. Math.},
volume = {13},
number = {1},
year = {2004},
pages = { 429-433},
language = {en},
url = {http://dml.mathdoc.fr/item/1109106434}
}
Leemans, Dimitri. The Residually Weakly Primitive Geometries of $J_3$. Experiment. Math., Tome 13 (2004) no. 1, pp. 429-433. http://gdmltest.u-ga.fr/item/1109106434/