arXiv · math/0609052
Let M=M(n,q) be the average of the orders of the elements in the finite unitary group U(n,q). The asymptotic estimate log(M)=nlog(q)-log(n) +o(log n) is proved.
Eric Schmutz. 2006-09-01. The Expected Order of a Random Unitary Matrix. https://arxiv.org/abs/math/0609052
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