Geodesic
On the rank two geometries of the groups PSL(2, q): part II
Ars Mathematica Contemporanea, Tome 6 (2013) no. 2, pp. 365-388.

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We determine all firm and residually connected rank 2 geometries on which PSL(2, q) acts flag-transitively, residually weakly primitively and locally two-transitively, in which one of the maximal parabolic subgroups is isomorphic to A4, S4, A5, PSL(2, qʹ) or PGL(2, qʹ), where qʹ divides q, for some prime-power q.
DOI : 10.26493/1855-3974.181.59e
Keywords: Projective special linear groups, coset geometries, locally s-arc-transitive graphs 
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Francis Buekenhout; Julie De Saedeleer; Dimitri Leemans. On the rank two geometries of the groups PSL(2, q): part II. Ars Mathematica Contemporanea, Tome 6 (2013) no. 2, pp. 365-388. doi : 10.26493/1855-3974.181.59e. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.181.59e/

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