Frobenius groups Fpn

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 Fq
Fq = AGL(1,q) = Fq:Fqx
is a Frobenius group, and we use the notation Fq to denote these.
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