Lowering the prime symbol

Question

I want to use a prime along a math symbol, but now it looks a little odd, e.g. like this:

I would like to lower the prime, if possible. Is there a nice way to do this?

Comment: stripping off all really irrelevant stuff, the code is as follows:

\documentclass[a4paper, twoside, 10pt]{report}
\usepackage[english]{babel}
\usepackage{mathpazo}
\linespread{1.05}
\usepackage[hidelinks]{hyperref}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{amsthm}
\usepackage{mathtools}
\begin{document}
%stuff
\begin{equation}
\Phi(p\triangleleft g)=\Phi(p_2)\triangleleft'g
\end{equation}
\end{document}

and so on. I would like to prime to be such that the upper edge of the triangle is sort of on level with the middle of the prime.

Answer 1

The following implementation of \myprime may be what you're looking for.

\newcommand\myprime{\mkern-3.5mu\raise0.6ex\hbox{$\scriptstyle\prime$}}

The \mkern-3.5mu instruction shifts the material to the left, while \raise0.6ex raises it a bit.

\documentclass{article}
\usepackage{newpxtext,newpxmath} % Palatino clone text and math font
\newcommand\myprime{\mkern-3.5mu\raise0.6ex\hbox{$\scriptstyle\prime$}}

\begin{document}
$\Phi(p_2)\triangleleft\myprime g$ vs.\ $\Phi(p_2)\triangleleft' g$
\end{document}

Here's the same screenshot, but with mathpazo loaded instead of newpxtext and newpxmath:

---

Addendum: To create more space after the lowered prime symbol, one could insert an instruction such as \mkern5mu. In case you're wondering how wide a "mu" is: There are 18 mu in 1 em. :-) Thus, the following definition may work for you:

\newcommand\lowprime{\mkern-3.5mu%
                     \raise0.6ex\hbox{$\scriptstyle\prime$}
                     \mkern5mu}

A full MWE:

\documentclass{article}
\usepackage{mathpazo}
\newcommand\myprime{\mkern-3.5mu%
                    \raise0.6ex\hbox{$\scriptstyle\prime$}}
\newcommand\lowprime{\mkern-3.5mu%
                     \raise0.55ex\hbox{$\scriptstyle\prime$}
                     \mkern5mu}
\begin{document}
\begin{tabular}{ll}
$\Phi(p_2)\triangleleft\myprime g$  & \verb+\myprime+\\
$\Phi(p_2)\triangleleft\lowprime g$ & \verb+\lowprime+\\
$\Phi(p_2)\triangleleft^{\prime}g$  & \verb+^{\prime}+ \\
\end{tabular}
\end{document}