A nowhere-zero point in linear mappings
- Cite this article as:
- Alon, N. & Tarsi, M. Combinatorica (1989) 9: 393. doi:10.1007/BF02125351
We state the following conjecture and prove it for the case whereq is a proper prime power:
Let A be a nonsingular n by n matrix over the finite field GFqq≧4, then there exists a vector x in (GFq)n such that both x and Ax have no zero component.
AMS subject classifications (1980)05 B 3505 B 2512 C 05