On k-simplexes in (2k-1)-dimensional vector spaces over finite fields

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/223368We 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.FPSAC 2009CombinatoricsOn k-simplexes in (2k-1)-dimensional vector spaces over finite fieldstext