On the unitary units of the group algebra 𝔽_2^kQ₁₆

Abstract

In this note, the structure of unitary unit groups V * (F 2 k Q 16 ) is investigated, where Q 16 , is quaternion group of order 16, and F 2 k is any finite field of characteristic 2, with 2 k elements. In particular, we give the center Z(V * (F 2 k Q 16 )) of unitary units subgroup V * (F 2 k Q 16 ) of group algebra F 2 k Q 16 . The structure of the unitary unit subgroup V * (F 2 k Q 16 ) is described with the help of the Z(V * (F 2 k Q 16 )).