University of Isfahan International Journal of Group Theory 2251-7650 1 4 2012 12 01 Units in z2(c2 x d∞) 33 41 1589 10.22108/ijgt.2012.1589 EN 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 Journal Article 2012 04 23 In this paper we consider the group algebra $R(C_2\times‎ ‎D_\infty)$‎. ‎It is shown that $R(C_2\times D_\infty)$ can be‎ ‎represented by a $4\times 4$ block circulant matrix‎. ‎It is also‎ ‎shown that $\mathcal{U}(\mathbb{Z}_2(C_2\times D_\infty))$ is‎ ‎infinitely generated‎. https://ijgt.ui.ac.ir/article_1589_be4c70f82fd30aaa780db17dff9e42fc.pdf