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Posted: **Thu May 05, 2022 6:34 pm**

: 8 Let G U Z C Z 1 Be The Circle Group Then X C The Set Of Complex Numbers Is A G Set With Group Action 1 (92.98 KiB) Viewed 34 times

8. Let G = U= {z = C||z| = 1} be the circle group. Then X = C, the set of complex numbers, is a G-set with group action given by complex number multiplication. That is, if z € U and w € C, *(z, w) = zw. Find all the orbits of this action. Also, find XG.