If Z2 is a homomorphic image of D3, what is the homomorphism? Φ: D3 to Z2
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Originally Posted by o&apartyrock If Z2 is a homomorphic image of D3, what is the homomorphism? Φ: D3 to Z2 we have let be an onto homomorphism. then we must have the only normal subgroup of of order 3 is so we must have
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let
be an onto homomorphism. then we must have
of order 3 is
so we must have
=f(b)=f(b^2)=\bar{0}, \ f(a)=f(ab)=f(ab^2)=\bar{1}.)
