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Homework Statement
If f:G[tex]\rightarrow[/tex]H is a homomorphism, then f(eG) = eH.
Homework Equations
The proof from my professor's notes:
f(eG) = f(eG*GeG) = f(eG)*f(eG)
f(eG) = f(eG)*eH
f(eG)*f(eG) = f(eG)*eH
f(eG) = eH