Jordan Form of (i+j over j) over Z[subscript p]

The Jordan Form over field Z[subscript p] of J[superscript p][subscript p]n is diagonal for p > 3 with characteristic polynomial, ϕ(x) = x[superscript 3] - 1, for p prime, n natural number. These matrices have dimension p[superscript n] x p[superscript n], with entries (i+j over j). I prove these...

Full description

Bibliographic Details
Main Author: Strauss, Nicholas
Format: Working Paper
Language:en_US
Published: MIT Artificial Intelligence Laboratory 2008
Online Access:http://hdl.handle.net/1721.1/41486