Due Wednesday, August 14th
Section 16: 12, 13. For problem 13, in addition describe the orbit and compute the stabilizer of the origin.
Moreover prove lemma 3.1.19 (of the notes).
Due Wednesday, August 7th
There is no homework due, but there is a take home midterm due (check your inbox)!
Due Wednesday, July 31st
Section 10: 31, 38, 40.
Section 14: 4, 7, 30, 31.
Moreover, prove lemma 2.2.9 (of the notes).
Due Wednesday, July 24th
There is no homework due.
Due Wednesday, July 17th
Section 11: 9, 20, 50, 51.
Section 0: 29, 36(a).
Due Wednesday, July 10th
Section 13: 8, 9, 13, 49.
Section 4: 40.
Section 8: 1, 4, 16, 20, 46.
In addition do the following problem: Fix \(n\geq2\). Show that the function \(\Phi:\mathbb{Z}/n\rightarrow\mu_n\), \(\Phi(\overline{r})=e^{2\pi i r/n}\) is a group isomorphism.
Due Wednesday, July 3rd
Section 4: 2, 3, 7, 19, 29, 32, 34.
Section 5: 5, 12, 47, 51, 54.
Section 6: 48, 51, 52.