Number of commuting pairs (triples, n-tuples) in GL_n(F_q) (and other groups)? – mathoverflow.net

Number of commuting pairs (triples, n-tuples) in GL_n(F_q) (and other groups)? – mathoverflow.net

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Question 1 What is the number of pairs of commuting elements in GL_n(F_q) ? Question 1b If we take limit q->1 can we get number of commuting elements in S_n ? (Standard analogy S_n = GL_n(F_1) ). I ...

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