If $\zeta= \zeta_{n}$, how does one count the homomorphisms $f:\mathbf{Q}(\zeta)\rightarrow \mathbf{Q}(\zeta)$?
Counting endomorphisms of $\mathbf Q(\zeta _{n})$
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abstract-algebra
ring-theory
galois-theory
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0Where can $\zeta$ go to? – 2011-12-22
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2I don't think it would hurt to say what $\zeta_n$ is and what your thoughts are so far. This is more or less the same as [this question](http://math.stackexchange.com/questions/24056/splitting-field-of-xn-1-over-mathbbq) modulo some field theory, which I'll try to explain. – 2011-12-22