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

Authors

  • Francis Buekenhout Université Libre de Bruxelles, Belgium
  • Julie De Saedeleer Université Libre de Bruxelles, Belgium
  • Dimitri Leemans Université Libre de Bruxelles, Belgium

DOI:

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

Keywords:

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

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.

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Published

2013-01-30

Issue

Vol. 6 No. 2 (2013)

Section

Articles

License

Articles in this journal are published under Creative Commons Attribution 4.0 International License
https://creativecommons.org/licenses/by/4.0/