On point sets in vector spaces over finite fields that determine only acute angle triangles

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Abstract

For three points U, v and w in the n-dimensional space Fnq over the finite field Fq of q elements we give a natural interpretation of an acute angle triangle defined by these points. We obtain an upper bound on the size of a set Z such that all triples of distinct points u, v, W ε Z define acute angle triangles. A similar question in the real space Rn dates back to P.Erds and has been studied by several authors.

Original languageEnglish
Pages (from-to)114-120
Number of pages7
JournalBulletin of the Australian Mathematical Society
Volume81
Issue number1
DOIs
Publication statusPublished - Feb 2010

Bibliographical note

Copyright 2010 Australian Mathematical Publishing Association Inc. Published by Cambridge University Press. Article originally published in Bulletin of the Australian Mathematical Society, vol. iss. 1, pp. 114-120. The original article can be found at http://dx.doi.org/10.1017/S0004972709000719

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