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

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, where one of the maximal parabolic subgroups is isomorphic to Eq : (q − 1)/(2, q − 1), where Eq denotes an elementary abelian group of order q, or D2n(q), the dihedral group of order 2n(q) where n(q) := (q ± 1)/gcd(2, q − 1) for some prime-power q

Keywords


Projective special linear groups, coset geometries.

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DOI: https://doi.org/10.26493/1855-3974.107.2e3

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