Abstract
This chapter presents some results concerning translation planes of dimension 2 over GF(q), where q = p r . π denotes such a plane. It is assumed that π has a collineation group F of order q 2 (q-1) satisfying the condition: there exists a point V ε ℓ ∞ such that F fixes V and acts (faithfully) as a Frobenius group on l ∞ – {V}.
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