# Section 9.4: Analysis

Conjugacy used here in Section 9.4 seems to be at least partially related to normal groups. For normal groups $g^-1 n_1 g=n_2$ and $n_1$ does not necessarily equal $n_2$. Here a is said to be conjugate to b if there exists an $x\in G$ such that $b=x^-1 a x$. There’s a distinct similarity that may have some significance, or we may be able to reword Hungerford’s original explanation of Normality using Conjugacy.