## The residually weakly primitive geometries of $$\text{PSL} (3,q)$$ with $$q < 8$$.(English)Zbl 1052.51003

Summary: We announce the classification of all firm and residually connected geometries satisfying the condition $$(2T)_1$$ and on which a $$\text{PSL}(3,q)$$ group (with $$q<8$$) acts flag-transitively and residually weakly primitively. The complete list of geometries is available as a supplement to this note [cf. the authors, ”Supplement to: The residually weakly primitive geometries of $$\text{PSL}(3,q)$$ with $$q<8$$”, available at http://cso.ulb.ac.be/~dleemans/abstracts/psl3.html].

### MSC:

 5.1e+15 Finite partial geometries (general), nets, partial spreads
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