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This is a cross post from MSE

I want to know why are faithful actions called faithful and who first called them faithful?

Definition: An action $G$ on $X$ is faithful when ${g_1 \neq g_2 \Rightarrow g_1 x \neq g_2 x}$ for some ${x \in X}$ (different elements of $G$ act differently at some point).

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    $\begingroup$ Has been answered on Mathoverflow. $\endgroup$
    – C.F.G
    Commented Sep 18, 2020 at 9:12

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