| 19 November | Homework for points: integer subgroups |
| 17 November | Section 11.4: 3, 4, 5 (seems to be tricky, but isn't) |
| 14 November |
Section 11.4: 1 (busywork, but you should know about it), 2abc Section 11.3: 1, 2 |
| 12 November | Section 10.4: 1ace (1c is more work), 2 (don't forget the trivial ones), 13ac |
| 10 November |
Section 10.3: 1, 2 (we did this in class) Section 9.4: 30 (find proper generators in S_n) |
| 7 November | Section 9.4: 12, 15, 24, 25 |
| 5 November | Section 9.4: 8, 9, 11 |
| 3 November | Section 9.4: 1, 3, 5 |
| 31 October |
EX2 extras for points:
The inverse of a bijective morphism is a morphism. Due 7 November. EX2 |
| 29 October | Section 6.5: 18, 19, 21 |
| 27 October | Section 6.5: 8, 11ab, (left cosets are equal or disjoint, etc), 14, 17 |
| 24 October |
Section 6.5: 2, 5abce, 7 Find all subgroups of (Z_2 x Z_3). Find all subgroups of (Z_2 x Z_5) |
| 22 October |
Section 6.5: 1
Section 5.4: 35, 36, 37ab Homework for points: physical cube |
| 20 October | Section 5.4: 31, 33, 34 |
| 15 October | Section 5.4: 20, 23, 24, 27 |
| 13 October | Section 5.4: 5 (don't list all subgroups), 8, 12, 16 |
| 10 October | Section 5.4: 2abjkl (order of an element is on page 47), 3ac, 4 |
| 8 October |
Section 5.4: 1abc Section 4.5: 29, 30, 31, [Compute (1+i)^15] |
| 6 October | Section 4.5: 18, 19abd, 20, 23bc |
| 3 October | Section 4.5: 16ab, 17c |
| 1 October | Section 4.5: 15ace, 23a |
| 29 September | Section 4.5: 8, 11, 14 |
| 26 September |
EX1 extras for points:
(1) From section 4.5, problems 1abc. (2) Find three subgroups of size 8 of the 12-gon clock group. Due 10 October. EX1 |
| 24 September | Section 4.5: 3abgi, 4a, 5, 6 |
| 22 September |
Section 4.5: 1ab, 2a Section 3.5: 25, 35 (find six) |
| 19 September | Section 3.5: 14, 17, 26, 31, 32 (tricky) |
| 17 September | Section 3.5: 5, 8, 11, 12 |
| 15 September |
Section 3.5: 4, 7, 10
Homework for points: three proofs |
| 12 September |
Section 3.5: 1 Section 2.4: 27 |
| 10 September | Section 2.4: 23, 26, 28, 30 |
| 8 September | Section 2.4: 15ab, 16, 18, 20 (relatively prime means no common factors except +-1) |
| 5 September | Section 2.4: 8, 11, 12 |
| 3 September | Section 2.4: 1, 5, 10 |
| 29 August | Section 1.4: 24ac, 25, 26 |
| 27 August | Section 1.4: 7, 9, 18ac, 22bcd |
| 25 August | Section 1.4: 1, 2, 3 |