Units in F_{۲^k}D_{۲n}

Let \mathbb{F}_{q}D_{۲n} be the group algebra of D_{۲n}‎, ‎the dihedral group of order ۲n‎, ‎over \mathbb{F}_{q}=GF(q)‎. ‎In this paper‎, ‎we establish the structure of \mathcal{U}(\mathbb{F}_{۲^{k}}D_{۲n})‎, ‎the unit group of \mathbb{F}_{۲^{k}}D_{۲n} and that of its normalized unitary subgroup V_{*}(\mathbb{F}_{۲^{k}}D_{۲n}) with respect to canonical involution * when n is odd‎.

کلیدواژه ها:

group algebra ، Unit Group ، Unitary Units