The Expected Order of a Random Unitary Matrix

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/116351Let 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.Group TheoryCombinatorics20P05The Expected Order of a Random Unitary Matrixtext