Tentative* Homework Assignments for Block III - ADVANCED GROUP THEORY - *Assignments listed beyond a week from the current lesson may change slightly. Check this site regularly to ensure you have accurate information.
 Lesson # Date(s) Section Topic Homework Assignment 32 Nov. 9 Conjugation in Permutation Groups (with GAP) Finish GAP Project and Read Section 15 33 Nov. 12 15 Factor-Group Computations and Simple Groups Do exercises on pp. 151-154: #10, 12, 15, 19, 23, 25, 28, 30, 31 (Due Fri., Nov. 16 but collected on Monday, Nov. 26) Presentations for next lesson: #34-38, p. 153 34 Nov. 14 15 Student Presentations Read Section 16 35 Nov. 16 16 Group Actions Do exercises on pp. 159-161: #1-3, 7, 8, 9, 14, 15, 16 (Due Wed., Nov. 28) ***THANKSGIVING BREAK -- Nov. 17-25*** 36 Nov. 26 16 Group Actions 37 Nov. 28 34 Three Isomorphism Theorems Read Section 34; Do exercises on pp. 310-311: #3, 6 ,8 (Due Fri., Nov. 30) Presentation for next lesson: #9, p. 311 38 Nov. 30 36 Three Isomorphism Theorems/Revisiting Lagrange and p-Groups Read pp. 321-323 of Section 36; Quiz on the First Sylow Theorem on Wed., Dec. 5 39 Dec. 3 36 The Normalizer of a Subgroup Read pp. 323-325 of Section 36; Do exercises on pp. 326-327: #2, 4, 5, 10, 12, 17, 19, 20 (Due Mon., Dec. 10) Quiz on the Second and Third Sylow Theorems on Fri., Dec. 7 40 Dec. 5 36 Sylow Theorems (Quiz on the1st Sylow Theorem) See previous assignment 41 Dec. 7 36 Sylow Theorems (Quiz on the 2nd and 3rd Sylow Theorems) Read Section 37; Do exercises on pp. 332-333: #2, 3, 5, 6 (not to be collected) Presentations of #5 and 6 on Monday 42 Dec. 10 37 Applications of the Sylow Theorems Final Exam distributed
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