Let $G=$. Consider a homomorphism $\phi$ from $G$ to $
help finding the kernel of a group homomorphism
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group-theory
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1The group can be written as a nice semidirect product, see here: http://math.stackexchange.com/questions/17412/can-someone-tell-me-what-group-this-is/17471#17471 – 2011-02-10
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0In particular the kernel is the infinite dihedral group, generated by $ab^{-2}$ and $bab^{-3}$. – 2011-02-10