Curved closed arrow

Question

I'm trying to write $id:G\to G$ in the form of $:id:G\circlearrowleft$ but in fact I want this arrow:

Answer 1

Perhaps you want this:

Note the use of \colon instead of : for proper spacing.

\documentclass{article}
\usepackage{amssymb,graphicx}
\begin{document}
$\mathrm{id}\colon G;\rotatebox[origin=c]{90}{$\circlearrowleft$}$
\end{document}

Alternatively, the MnSymbol package has the arrow \rcirclearrowleft.

\documentclass{article}
\usepackage{MnSymbol}
\begin{document}
$\mathrm{id}\colon G\rcirclearrowleft$
\end{document}