In this paper, we establish the structure of [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] where [Formula: see text] is a finite field and [Formula: see text] is the dihedral group of order [Formula: see text]. For an odd prime [Formula: see text], we also establish the structure of [Formula: see text], when characteristic of [Formula: see text] is [Formula: see text] or [Formula: see text].
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Sahai et al. (2018) studied this question.
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