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arXiv 2014-12-04 0 views

On Magic Finite Projective Space

Nash, David · Needleman, Jonathan

Original · EN

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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