|
Highlighted assignments are due soon. |
|
Due Date |
Assignments |
| 7 Dec | Exercises 5.44, 5.61, 5.65 |
| 2 Dec | Exercises 5.18, 5.20, 5.21, 5.25, 5.26, 5.27, 5.28, 5.29, 5.30, 5.31 |
| 16 Nov | Team Assignment 2, downloadable here |
| 9 Nov | Exercises 4.16, 4.17, 4.18, 4.21, 4.22, 4.33 Read Exercises 4.27, 4.29, 4.30, 4.31 |
| 2 Nov | Read Consequences of isomorphism (pp. 82-86) Exercises 3.82, 3.84, 3.85, 3.86 |
| 31 Oct | Read Homomorphisms (pp. 76-80) |
| 26 Oct | Exercises 3.46, 3.48, 3.59, 3.62, 3.64, 3.69 Read Exercises 3.63, 3.70 Read "Solvable" groups (pp. 67-71) |
| 19 Oct | Exercises 3.30, 3.32 |
| 12 Oct | Read Cosets (pp. 52-56) and Lagrange's Theorem (pp. 57-59) Exercises 3.14, 3.19, 3.20 |
| 5 Oct | Exercises 2.41, 2.57, 2.59, 2.62
Note: There is a nasty typo on Exercise 2.57. It should read: Let n ∈ N+ and Ω the set of n-th roots of 1 [not -1.] (a) Verify that if n = 4 [not 2], then Ω = {1,i,-1,-i}, where i is the square root of -1. (b) Show that Ω is a group with n elements. (You may use, without proof, the facts that (i) Ω contains the roots of xn - 1 [not xn + 1], and (ii) there are exactly n such roots.) |
| 28 Sep | Exercises 2.12, 2.13, 2.16, 2.17, 2.33 |
| 21 Sep | Exercises 1.59, 1.60, 1.61 |
| 19 Sep | Read Groups (pp. 22-26) |
| 14 Sep | Exercises 1.43, 1.46, 1.47 |
| 12 Sep | Read Direct products and isomorphism (pp. 15-20) |
| 7 Aug | Exercises 1.22, 1.23, 1.25, 1.27 |
| 31 Aug | Read Integers, monomials, and monoids (pp. 11-14) |
| 29 Aug | Read Three interesting problems (pp. 1-2) and Some facts about the integers (pp.5-10) |