The Expected Order of a Random Unitary Matrix

Preprint

2 September 2006

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0609052

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.

Keywords

ELEMENTS IN THE FINITE
ASYMPTOTIC ESTIMATE
RANDOM UNITARY
UNITARY MATRIX
FINITE UNITARY
EXPECTED ORDER
UNITARY GROUP
ESTIMATE LOG
NLOG

All Related Versions

Version 1, 2006-09-02, ArXiv

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