Yesterday I posted a question here followed by a Post Script. How do I align the equations in the Post Script by the "=" signs, just like "someone you know" did when responding to me? The following is the equations' code:
S_1 = {hgh^{-1}g^{-1} \mid h \in H }
= {hg (g^{n-1})(g^{n-1})^{-1}h^{-1}g^{-1} \mid h \in H }
= {h(g g^{n-1})(g^{n-1})^{-1}h^{-1}g^{-1} \mid h \in H }
= {hg^n(g^{n-1})^{-1}h^{-1}g^{-1} \mid h \in H }
Thank you for your time and happy holidays to all.
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In this particular case, you will get
\begin{align*}
S_1&=\{hgh^{-1}g^{-1}:h\in H\}\\
S_2&=\{hkh^{-1}k^{-1}:h\in H,k\in\langle g\rangle\}=\{hg^nh^{-1}g^{-n}:h\in H, n\in\mathbb{Z}\}
\end{align*}
$\begin{align*} S_1&=\{hgh^{-1}g^{-1}:h\in H\}\\ S_2&=\{hkh^{-1}k^{-1}:h\in H,k\in\langle g\rangle\}=\{hg^nh^{-1}g^{-n}:h\in H, n\in\mathbb{Z}\} \end{align*}$
