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Let $G$ be a finite group, written multiplicatively. The Davenport constantof $G$ is the smallest positive integer $d$ such that every sequence of $G$with $d$ elements has a non-empty subsequence with product $1$. Let $C_n \simeq\mathbb Z_n$ be the cyclic group of order $n$. Bass (2007) showed that theDavenport constant of the metacyclic group $C_q \rtimes_s C_m$, where $q$ is aprime number and $\text{ord}_q(s) = m \ge 2$, is $m+q-1$. In this paper, weexplicit the form of all sequences $S$ of $C_q \rtimes_s C_m$, with $q+m-2$elements, that are free of product-$1$ subsequences.

Extremal product-one free sequences in $C_q \rtimes_s C_m$