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. 13

 

 Conjugation in Permutation Groups (with GAP) Finish GAP Project and Read Section 15

33

Nov. 16

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. 20)

Presentations for next lesson:
GROUP I - #34-35
GROUP II - #36-37
GROUPIII - #38, p. 153

What are your groups?

34

Nov. 18

15

 Student Presentations Read Section 16

35

Nov. 20

16

 Group Actions  Do exercises on pp. 159-161:
#1-3, 7, 8, 9, 14, 15, 16
(Due Wed., Dec. 2)

***THANKSGIVING BREAK -- Nov. 21-29***

36

Nov. 30

16

 Group Actions Read Section 34;

37

Dec. 2

34

 Three Isomorphism Theorems

Do exercises on pp. 310-311:
# 6 ,8
(Due Fri., Dec. 4)

Presentation for next lesson: #9, p. 311

Read pp. 321-323 of Section 36;

38

Dec. 4

36

Three Isomorphism Theorems/Revisiting Lagrange and p-Groups

 Quiz on the First Sylow Theorem on Wed., Dec. 9

39

Dec. 7

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. 14)

Quiz on the Second and Third Sylow Theorems on Fri., Dec. 11

40

Dec. 9

36

Sylow Theorems
(Quiz on the1st Sylow Theorem)

See previous assignment

41

Dec. 11

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. 14

37

 Applications of the Sylow Theorems Final Exam distributed
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