:Let n >0 be an integer, R be the additive group of real numbers and U be the
multiplicative group of complex numbers of modulo1. Show that the group R/nZ
and U are isomorphic.
:Let n >0 be an integer, R be the additive group of real numbers and U be the
multiplicative group of complex numbers of modulo1. Show that the group R/nZ
and U are isomorphic.
Fix $\displaystyle n>0$ now define $\displaystyle \theta \mapsto e^{2\pi i\theta /n}$. Apply fundamental homomorphism theorem.