I want to write between the itemise, that is after one bullet point, I want to add 2 small sentences below it. See my code and what I want is given below:
\documentclass{amsart}
\newtheorem{thm}{Theorem}
\usepackage{xcolor}
\begin{document}
\section{\textcolor{blue}{Testing Nilpotence in linear time}}
Given a group $G$ in the form of mutiplication table, we want to check to decide divides the order of $G$}. Algorithm for testing nilpotence is given below. \\
\begin{itemize}
\item Compute the prime factorization of $n= p_1^{\alpha_1} \times p_2^{\alpha_2} \cdots p_i^{\alpha_i}$. \\
\item Determine the order of all elements in $G$. \\
\item For $1 \le i \le r$, check if $\mathcal{N}(p_i^{\alpha_i}) \neq p_i^{\alpha_i}$ then $G$ is not nilpotent. \\
\item Else output that $G$ is nilpotent
\end{itemize}
Question : How to add small text as given in the image?



