Units in F2kd2n
نویسندگان
1 Indian Institute of Technology Delhi Hauz Khas, New Delhi India
2 Indian Institute of Technology Delhi Hauz Khas, New Delhi-110016 India
3 Indian Institute of Technology Delhi Hauz Khas, New Delhi India
doi
10.22108/ijgt.2014.4382چکیده
Let $\mathbb{F}_{q}D_{2n}$ be the group algebra of $D_{2n}$, the dihedral group of order $2n$, over $\mathbb{F}_{q}=GF(q)$. In this paper, we establish the structure of $\mathcal{U}(\mathbb{F}_{2^{k}}D_{2n})$, the unit group of $\mathbb{F}_{2^{k}}D_{2n}$ and that of its normalized unitary subgroup $V_{*}(\mathbb{F}_{2^{k}}D_{2n})$ with respect to canonical involution $*$ when $n$ is odd.
