The Expected Order of a Random Unitary Matrix
Group Theory
2007-05-23 v1 Combinatorics
Abstract
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.
Cite
@article{arxiv.math/0609052,
title = {The Expected Order of a Random Unitary Matrix},
author = {Eric Schmutz},
journal= {arXiv preprint arXiv:math/0609052},
year = {2007}
}