Problems for the 6th edition of Gilbert and Gilbert book

These problems are from the textbook Elements of Modern Algebra by J. Gilbert and L. Gilbert, 6th edition.

Problems for Test #1 (tentative):
- Section 1.2: 1-10;
- Section 1.4: 1-9;
- Section 1.7: 1-3, 11-12;
- Section 2.2: 3-5, 21-22, 26-27, 39;
- Section 2.3: 3-19, 27-28, 31, 39;
- Section 2.4: 2-3, 7-10;
- Section 2.5: 1-6, 25-27;
- Section 3.1:
  1-10 decide group or monoid;
  11-12: is it monoid?;
  15-26: decide group or monoid;
  13-14 and 27-30: as they are in textbook.
Problems for Test #2 (tentative):
- Section 3.1: 1-31, 40-51, 57-59;
- Section 3.2: 1-5, 8-12, 17-19, 21, 24-25, 28-34;
- Section 3.3: 1-4, 7-11, 19-21, 24, 26, 29.
Problems for Test #3 (tentative):
- Section 3.1: 1-31, 38-49, 57-59;
- Section 3.2: 1-5, 8-12, 17-19, 21, 24-25, 28-34;
- Section 3.3: 1-4, 7-11, 19-21, 24, 26, 29;
- Section 3.4: 1-4, 6, 10-11, 13-14, 16, 19, 21-27, 29;
- Section 3.5: 1-2, 6-7, 11, 13-15, 17;
- Section 4.1: 1-8, 15, 17.
Problems for Test #4 (tentative):
- Section 2.8: 1-25;
- Section 3.5: 1-2, 6-17;
- Section 4.1: 1-8, 10-12, 14-22;
- Section 4.4: 1-2, 6-12, 14-28, 30-31, 38-39, 43.
Problems for the exam (tentative): all exercises listed above for previous tests plus the following exercises:
- Section 4.5: 1-11, 16-22, 25;
- Section 5.1: 1-2, 7-8, 11-20, 22, 26-27, 30, 34-36, 40;
- Section 5.2: 1, 15, 18-19;
- Section 6.1: 1-3, 5-8, 10-14, 19, 21-24;
- Section 6.2: 6, 8, 12, 16, 19;
- Section 6.4: 1-2, 5-6, 9-10;
- Section 8.1: 1-11, 13-17;
- Section 8.2: 1-21;
- Section 8.5: 1-2.