Unit group of algebra of circulant matrices

Document Type: Research Paper

Authors

1 Indian Institute of Technology Delhi

2 Department of Mathematics, Kamla Nehru College, University of Delhi, Delhi

Abstract

Let $Cr_n(F_p)$ denote the algebra of $n \times n$ circulant‎ ‎matrices over $F_p$‎, ‎the finite field of order $p$ a prime‎. ‎The‎ ‎order of the unit groups $\mathcal{U}(Cr_3(F_p))$‎, ‎$\mathcal{U}(Cr_4(F_p))$ and $\mathcal{U}(Cr_5(F_p))$ of algebras of‎ ‎circulant matrices over $F_p$ are computed‎.

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