Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Finite projective plane properties

  1. Feb 19, 2008 #1
    1. The problem statement, all variables and given/known data
    Let P be a finite projective plane so that all lines in P have the same number of points lying on them; call this number n+1, with n greater than or equal to 2. Show the following:

    a) each point in P has n+1 lines passing through it.
    b)the total number of points in P is n^2+n+1.
    c) the total number of lines in P is n^2+n+1

    2. Relevant equations

    3. The attempt at a solution
    I created a model of P using n=2. I showed that the number of points in P is 7 and the number of lines in P is 7. I tried to look for a way to generalize this problem but I am having trouble.
  2. jcsd
  3. Feb 20, 2008 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Have you done the same exercise for affine planes? Can you use that info?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook