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

preprint2020arXivOpen access

Let $\text{AGL}(1,\Bbb F_q)$ denote the affine linear group of dimension one over the finite field $\Bbb F_q$ . We determine the Möbius function of the lattice of subgroups of $\text{AGL}(1,\Bbb F_q)$ .

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

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The Möbius Function of the Affine Linear Group AGL(1,Fq)\text{AGL}(1,\Bbb F_q)AGL(1,Fq​)

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