Subplane of projective plane

From Groupprops
Jump to: navigation, search

Template:Projective plane-subset property


A subplane of a projective plane is a subset of the point and line set that becomes a projective plane with the induced incidence structure. In other words:

  • If two points belong to the subset, so does the line incident with them
  • If two lines belong to the subset, so does the point incident with them
  • The subset contains a quadrangle

Relation with other properties

Weaker properties