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Orthogonal group over finite field

  1. Feb 28, 2009 #1


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    Let O(n,F_q) be the orthogonal group over finite field F_q. The question is how to calculate the order of the group.
    The answer is given in http://en.wikipedia.org/wiki/Orthogonal_group#Over_finite_fields". This seems to be a standard result, but I could not find a proof for this in the basic representation theory books that I have. Neither could I solve it myself from the (direct sum) construction they have given.
    Can someone please help me? It is enough if you give some references (books/papers) where it is solved.
    Last edited by a moderator: Apr 24, 2017
  2. jcsd
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