# Math ## Block Math ```````````````````````````````` example $$ .
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```````````````````````````````` ```````````````````````````````` example $$ \operatorname{ker} f=\{g\in G:f(g)=e_{H}\}{\mbox{.}} $$ .bar
```````````````````````````````` ```````````````````````````````` example $$ foo bar $$ .The homomorphism \(f\) is injective if and only if its kernel is only the singleton set \(e_G\), because otherwise \(\exists a,b\in G\) with \(a\neq b\) such that \(f(a)=f(b)\).
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