In this paper, we establish the structure of the unit group of the group algebra [Formula: see text] where [Formula: see text] is an abelian group of order at most 16 and [Formula: see text] is a finite field of characteristic [Formula: see text] with [Formula: see text] elements.
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].
Let F be a finite field of characteristic p. There are three nonisomorphic non-abelian groups of order 30. The structure of U (F (C 5 ×D 6 )) for p = 3 is given in [
In this paper, we obtain the structure of the unit groups [Formula: see text] of the finite group algebras of the generalized quaternion groups [Formula: see text], over a finite field [Formula: see text] of characteristic [Formula: see text].
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