The Expected Order of a Random Unitary Matrix

Details The Expected Order of a Random Unitary Matrix The Expected Order of a Random Unitary Matrix

2006-09-01

arxiv.org/abs/math/0609052v1

Mathematics

Group Theory

Scientific paper

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.

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