# Olson, John E.

## Olson's Conjecture ★★

Author(s): Olson

\begin{conjecture} If $a_1,a_2,\ldots,a_{2n-1}$ is a sequence of elements from a multiplicative group of order $n$, then there exist $1 \le j_1 < j_2 \ldots < j_n \le 2n-1$ so that $\prod_{i=1}^n a_{j_i} = 1$. \end{conjecture}

Keywords: zero sum