On the rank two geometries of the groups PSL(2, q): part II

Francis Buekenhout, Julie De Saedeleer, Dimitri Leemans

Abstract


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.

Keywords


Projective special linear groups, coset geometries, locally s-arc-transitive graphs



DOI: https://doi.org/10.26493/1855-3974.181.59e

ISSN: 1855-3974

Issues from Vol 6, No 1 onward are partially supported by the Slovenian Research Agency from the Call for co-financing of scientific periodical publications