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
Back to the Kenyon Homepage Back to the Math Homepage Back to JAH's Homepage Back to JAH's Abstract I Homepage