\documentclass[12pt]{article}
\usepackage{amsmath,amssymb,amsfonts}
\begin{document}
Let $\mu_m$ be the group of $m$-th roots of unity. In this paper
it is shown that if $m$ is a prime power, then the number of all
square matrices (of any order) over $\mu_m$ with non-zero constant
determinant or permanent is finite. if $m$ is not a prime power,
we construct an infinite family of matrices over $\mu_m$ with
determinant one. Also we prove that there is no $n\times n$ matrix
over $\mu_p$ with vanishing permanent, where $p$ is a prime and
$n=p^{\alpha}-1$.
\end{document}