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