6 December | Section 11.5: 10, 11, 12 |
4 December |
Section 11.5. 7, 8, 9 Section 11.4: 16 |
1 December | Section 11.5: 3, 4 (try with a very simple small G), 5, 6 |
29 November |
Section 11.5. 2 Section 11.4: 10, 12, 14 |
27 November | Section 11.4: 4, 6, 9 |
20 November |
Section 10.4: 12, 13ac (try 13b), 14 Homework for points: From the book, 11.4.2, 11.4.3, and 11.4.5. Due 4 December |
17 November | Section 10.4: 6, 10, 11 |
15 November |
Section 10.4: 4abc, 5 Section 9.4: 36, 41, 42 |
13 November | Section 9.4: 22, 25, 38, 39 |
10 November | Section 9.4: 16, 26, 27, 28 |
8 November | Section 9.4: 15 (also find all subgroups) |
3 November | Section 9.4: 10, 12 |
1 November | Section 9.4: 3, 7, 8, 11 |
30 October | Section 6.5: 17, 19, 21 |
27 October | Section 6.5: 7, 12, 18 |
25 October |
Section 6.5: 1, 5abce Homework for points: (1) Find elements of the 24 element cube group of orders 2, 3, and 4. (2) Find subgroups of sizes 6, 8, and 12 (it suffices to give generators, but explain why the sizes are 6, 8, or 12). Due 6 November |
23 October |
In the 24-element cube group G, find an element of order 2, an element of
order 3, and an element of order 4. Find all subroups of the dihedral group D_7 (note that 7 is a prime number) |
18 October | Section 5.4: 31, 32ac, 34, 35, 36, 37ab |
16 October | Section 5.4: 12, 16, 23, 27 |
13 October | Section 5.4: 2nf, 3ab, 4, 8 |
11 October |
Section 5.4: 1ab, 2b Section 4.5: [Compute (1+i)^18], 23c, 28 |
9 October | Section 4.5: 18dg, 19b, 20 |
6 October | Section 4.5: 16a, 17c, 18cf |
4 October |
Section 4.5: 3i, 5, 6, 11, 15ac Complex numbers are easier with compplan.pdf and compexpo.pdf |
2 October | Section 4.5: 3abg, 4a |
27 September |
Section 4.5: 1ab, 2a With section 3.3: Find all subgroups of (Z_2 x Z_3). Find all subgroups of (Z_2 x Z_5) |
25 September | Section 3.5: 49, 50, 54 |
22 September | Section 3.5: 31, 32 (tricky), 35, 48 |
20 September | Section 3.5: 12, 17, 25, 26, 27, 28 |
18 September |
Section 3.5: 7, 8 Homework for points: 3.5.5 for a regular pentagon (called D_5), 3.5.6 for U(15), due 27 September |
15 September |
Section 3.5: 1abc, 5, 6 Our class axiomatization of groups is at 180923_aata_grp.pdf |
13 September | Section 2.4: 23, 26, 28, 30 |
11 September | Section 2.4: 12, 15ab, 18, 20 |
8 September | Section 2.4: 1, 5, 10 |
1 September | Section 1.4: 25, 26, 24ac |
30 August | Section 1.4: 19, 22bcd |
28 August | Section 1.4: 1, 2, 9, 11, 17 |