On Magic Finite Projective Space

2014/12/04 by David A. Nash, David Nash, Nash, David +2
Computer Science · Mathematics · #Graph Labeling and Dimension Problems #math.RT #msc:05B25 #msc:20C20 #msc:51E20 #msc:52C35

paper · pdf · doi:10.48550/arxiv.1412.1545

10 pages

arxiv created 2014/12/04 · arxiv updated 2014/12/05

Abstract

This paper studies a generalization of magic squares to finite projective space ℙⁿ(q). We classify at all functions from ℙⁿ(q) into a finite field where the sum along any r-flat is 0. In doing so we show connections to elementary number theory and the modular representation theory of GL(n,q).

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