R Sharma - Indian Institute of Technology Delhi
Pooja Yadav - Kamla Nehru College, University of Delhi, Delhi
Kanchan Joshi - Department of Mathematics, University of Delhi, Delhi

In this paper we consider the group algebra R(C_۲\times‎ ‎D_\infty)‎. ‎It is shown that R(C_۲\times D_\infty) can be‎ ‎represented by a ۴\times ۴ block circulant matrix‎. ‎It is also‎ ‎shown that \mathcal{U}(\mathbb{Z}_۲(C_۲\times D_\infty)) is‎ ‎infinitely generated‎.

Unit Group, infinite dihedral group, Circulant Matrices