Abstract
Let [Formula: see text] be an extension of the field [Formula: see text] of degree [Formula: see text] where [Formula: see text] for some positive integer [Formula: see text] and prime [Formula: see text] In this paper, we establish a sufficient condition for the existence of a primitive element [Formula: see text] such that [Formula: see text] is also primitive as well as a primitive normal element [Formula: see text] of [Formula: see text] over [Formula: see text] such that [Formula: see text] is primitive.
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