Math 2085 Final Exam July 26, 2000
Instructions. Answer each of the questions on your own paper. Be sure to show your
work so that partial credit can be adequately assessed.
Please print your name and student number in the space provided below, and turn i
The study of abstract algebra begins with the study of groups. A group is a set, together
with an associative binary operation, that contains an identity element and each element has
an inverse. A binary operation is one that preserves closure. In other w
Yeur answer is denitely eerreet.
Hewever, I reduced it enunlpletelf,Ir and get:
1 II] [II
1 2
I] II] 1
II] [II [II
M
DEED
Then when everything is eelved, you get:
Then let I; = 3 [to remeve the fractions).
I1 =1, :2 =6, :3 =2,
Math 2085 Final Exam July 26, 2000
Instructions. Answer each of the questions on your own paper. Be sure to show your
work so that partial credit can be adequately assessed.
Please print your name and student number in the space provided below, and turn i