# Frobenius groups F_{pn}

A *Frobenius group* is a transitive non-regular permutation group such that
no non-trivial element fixes more than one point. For every prime power q,
the group of affine linear transformations of the finite field 𝔽_{q}
F_{q} = AGL(1,q) = 𝔽_{q}⋊𝔽_{q}^{×}
is a Frobenius group, and we use the notation F_{q} to denote these.

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