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

Publication date: 27 January 2020

Abstract: Let

e x t A G L (1, B b b F_{q})

denote the affine linear group of dimension one over the finite field

B b b F_{q}

. We determine the M"obius function of the lattice of subgroups of

e x t A G L (1, B b b F_{q})

.

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