Xiang-dong Hou

collaborators

2 papers

math.CO2004

The Affinity of a Permutation of a Finite Vector Space

W. Edwin Clark, Xiang-dong Hou, Alec Mihailovs

For a permutation f of an n-dimensional vector space V over a finite field of order q we let k-affinity(f) denote the number of k-flats X of V such that f(X) is also a k-flat. By k…

math.NT2001

Enumeration of Isomorphism Classes of Extensions of p-adic Fields

Xiang-dong Hou, Kevin Keating

Let $Ω$ be an algebraic closure of $Q_{p}$ and let $F$ be a finite extension of $Q_{p}$ contained in $Ω$ . Given positive integers $f$ and $e$ , the number of extensi…