Simplices over finite fields

Published 13 Jun 2016 in math.CA and math.CO | (1606.04040v3)

Abstract: We prove that, provided $d > k$, every sufficiently large subset of $\mathbf{F}_q^d$ contains an isometric copy of every $k$-simplex that avoids spanning a nontrivial self-orthogonal subspace. We obtain comparable results for simplices exhibiting self-orthogonal behavior.

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Authors (1)

Hans Parshall

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