1 results
ON POINT SETS IN VECTOR SPACES OVER FINITE FIELDS THAT DETERMINE ONLY ACUTE ANGLE TRIANGLES
- Part of
-
- Journal:
- Bulletin of the Australian Mathematical Society / Volume 81 / Issue 1 / February 2010
- Published online by Cambridge University Press:
- 21 October 2009, pp. 114-120
- Print publication:
- February 2010
-
- Article
-
- You have access
- Export citation
-
For three points
, 
and 
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 
define acute angle triangles. A similar question in the real space ℛn dates back to P. Erdős and has been studied by several authors.
, 
and 
in the 
define acute angle triangles. A similar question in the real space ℛ