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 
FactorGroup Computations and Simple Groups  Do exercises on pp. 151154:
Presentations for next lesson: #3438, p. 153 
34 
Nov. 14 
15 
Student Presentations  Read Section 16 
35 
Nov. 16 
16 
Group Actions  Do exercises
on pp. 159161: #13, 7, 8, 9, 14, 15, 16 (Due Wed., Nov. 28) 
***THANKSGIVING BREAK  Nov. 1725*** 

36 
Nov. 26 
16 
Group Actions  
37 
Nov. 28 
34 
Three Isomorphism Theorems  Read Section 34; Presentation for next lesson: #9, p. 311 
38 
Nov. 30 
36 
Three Isomorphism Theorems/Revisiting
Lagrange and pGroups 
Read pp. 321323 of Section
36; Quiz on the First Sylow Theorem on Wed., Dec. 5 
39 
Dec. 3 
36 
The Normalizer of a Subgroup  Read pp. 323325 of Section 36; Do exercises on pp. 326327: Quiz on the Second and
Third Sylow Theorems on
Fri., Dec. 7 
40 
Dec. 5 
36 
Sylow Theorems 
See previous assignment 
41 
Dec. 7 
36 
Sylow Theorems (Quiz on the 2nd and 3rd Sylow Theorems) 
Read Section 37; Do exercises on pp. 332333: Presentations of #5 and 6 on Monday 
42 
Dec. 10 
37 
Applications of the Sylow Theorems  Final Exam distributed 
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