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Mathematics
Linear and Abstract Algebra
Orthogonal group over finite field
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[QUOTE="rsg, post: 2097041, member: 166612"] 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 [URL]http://en.wikipedia.org/wiki/Orthogonal_group#Over_finite_fields"[/URL]. 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. [/QUOTE]
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Mathematics
Linear and Abstract Algebra
Orthogonal group over finite field
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