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

Authors

  • Julie De Saedeleer Université Libre de Bruxelles
  • Dimitri Leemans Université Libre de Bruxelles

DOI:

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

Keywords:

Projective special linear groups, coset geometries.

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

Published

2010-11-05

Issue

Section

Articles