The unit group of algebra of circulant matrices

Document Type : Research Paper


1 Indian Institute of Technology Delhi Hauz Khas, New Delhi-110016 India

2 Indian Institute of Technology Delhi Hauz Khas, New Delhi India


Let $Cr_{n}(F)$ denote the algebra of $n\times n$ circulant matrices over the field $F$‎. ‎In this paper‎, ‎we study the unit group of $Cr_{n}(\mathbb{F}_{p^{m}})$‎, ‎where $\mathbb{F}_{p^{m}}$ denotes the Galois field of order $p^{m},~p$ prime‎.


Main Subjects

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