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Let $\text{AGL}(1,\Bbb F_q)$ denote the affine linear group of dimension oneover the finite field $\Bbb F_q$. We determine the M\"obius function of thelattice of subgroups of $\text{AGL}(1,\Bbb F_q)$.

The M\"obius Function of the Affine Linear Group $\text{AGL}(1,\Bbb F_q)$