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Quadratic forms

  1. Nov 26, 2008 #1
    For an odd prime number p let Fp be the field with p elements, ie. the integers {0....,p-1} with addition and multiplication defined modulo p. How many quadratic forms are there on the vector space Fp^n

    I don even know how to start this question
    Last edited: Nov 26, 2008
  2. jcsd
  3. Nov 26, 2008 #2
    are there infinite many quadratic forms on the vector space R^n ?
  4. Nov 27, 2008 #3
    If F is any field with characteristic not 2, on Fn the quadratic forms are equivalent to the symmetric bilinear forms (essentially the symmetric n × n matrices over F).
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