Units in $\mathbb{Z}_2(C_2\times D_\infty)$

Document Type: Research Paper

Authors

1 Indian Institute of Technology Delhi

2 Kamla Nehru College, University of Delhi, Delhi

3 Department of Mathematics, University of Delhi, Delhi

Abstract

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.

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