\documentclass{book}%%% for debugging only. For production, I use svmono.
\usepackage{amssymb}
\usepackage[makeindex,toc,nogroupskip,nomain]{glossaries-extra}%%% similar issue with glossaries
\newglossary[nlg]{notation}{not}{ntn}{Notation}
\makeglossaries
\newglossaryentry{not:powerset}{type=notation, name={\(\mathfrak{P}\)}, text={\mathfrak{P}}, sort={powerset}, description={The power set of a set \(Z\) is denoted by \(\mathfrak{P}(Z)\).}}
\begin{document}
\pagenumbering{Roman}\(\gls{not:powerset}\)
\newpage
\pagenumbering{arabic}\(\gls{not:powerset}\)
\printglossaries
\end{document}
