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

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Author(s)
Strauss, Nicholas
Date Issued
July 1985
Publisher
MIT Artificial Intelligence Laboratory
Series/Report no.
MIT Artificial Intelligence Laboratory Working Papers, WP-275
Abstract
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 results with the method of generating functions.
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http://hdl.handle.net/1721.1/41486
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