%0 Journal Article
%T On k-simplexes in (2k-1)-dimensional vector spaces over finite fields
%A Le Anh Vinh
%J Mathematics
%D 2009
%I arXiv
%X We show that if the cardinality of a subset of the $(2k-1)$-dimensional vector space over a finite field with $q$ elements is $\gg q^{2k-1-\frac{1}{2k}}$, then it contains a positive proportional of all $k$-simplexes up to congruence.
%U http://arxiv.org/abs/0903.2506v1