Abstract
We use Nagao’s Theorem to construct matrix subgroups of dimension 2 over skew polynomial rings acting sharply transitively on the projective line of the quotient skew field. This way we get new examples of nearfields. Under additional conditions we prove that these nearfields are wild nearfields, by which we mean that they are not Dickson nearfields. To our knowledge these are the first known examples of nearfields of dimension greater than 2 over their kernel for which it could be certainly proven that they are wild.
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