411 Midterm 1 Review Questions
Paul Hacking
October 12, 2011
(1) Give the denition of a group G.
(2) Suppose G is a group and x, y, z, w are elements of G satisfying the
equation xyz 1 w = e. Solve fo
Math 411 Homework 2
Due: Tuesday, Jun-28-2011
Answers to the following should be turned in by the end of class on the above date. Write
your name on the assignment and make sure all pages are secured
Math 411 Homework 3
Due: Thursday, Jul-7-2011
Answers to the following should be turned in by the end of class on the above date. Write
your name on the assignment and make sure all pages are secured
Math 411 Homework 1
Due: Tuesday, Jun-21-2011
Answers to the following should be turned in by the end of class on the above date. Write
your name on the assignment and make sure all pages are secured
411 Final Review Questions
Paul Hacking
December 2, 2011
(1) Let G and G be groups. Recall that a homomorphism from G to G
is a function : G G such that (ab) = (a)(b) for all a, b
G. Which of the fol
Math 411 Midterm 1, Thursday 10/13/11, 7PM-8:30PM.
Instructions: Exam time is 90 mins. There are 6 questions for a total of 70
points. Calculators, notes, and textbook are not allowed. Justify all you
411 Midterm 2 Review Questions
Paul Hacking
November 10, 2011
(1) Recall that the symmetric group Sn is the group of permutations of the
set cfw_1, 2, . . . , n, with operation given by composition of
Math 411 Midterm 2, Thursday 11/17/11, 7PM-8:30PM.
Instructions: Exam time is 90 mins. There are 7 questions for a total of 75
points. Calculators, notes, and textbook are not allowed. Justify all you
Math 411 Homework 4
Due: Wednesday, Jul-13-2011
Answers to the following should be turned in by the end of class on the above date. Write
your name on the assignment and make sure all pages are secure