Simplices over finite fields
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- by Hans Parshall PDF
- Proc. Amer. Math. Soc. 145 (2017), 2323-2334 Request permission
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.References
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Additional Information
- Hans Parshall
- Affiliation: Department of Mathematics, University of Georgia, Athens, Georgia 30602
- MR Author ID: 1032988
- Received by editor(s): July 20, 2016
- Published electronically: January 25, 2017
- Communicated by: Alexander Iosevich
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 2323-2334
- MSC (2010): Primary 11B30, 05D10, 11T24
- DOI: https://doi.org/10.1090/proc/13493
- MathSciNet review: 3626492