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Graham's rearrangement for dihedral groups (2503.18101v1)
Published 23 Mar 2025 in math.CO
Abstract: A famous conjecture of Graham asserts that every set $A \subseteq \mathbb{F}p \setminus {0}$ can be ordered so that all partial sums are distinct. Bedert and Kravitz proved that this statement holds whenever $|A| \leq e{c(\log p){1/4}}$. In this paper, we will use a similar procedure to obtain an upper bound of the same type in the case of dihedral groups $Dih{p}$.