Solutions to Problem Set 2

Problem 1: Page 28 #9, 10, 11

Problem 2 The inverse set map of a bijective group homomorphism is a homomorphism.

Problem 3: Page 40 #6, 7

Page 40 #8, 9

Problem 4: The rationals under addition and the positive rationals under multiplication are not isomorphic.

Problem 5: Page 33 #2

Page 33 #3, Problem 6: Problem 6 is to represent D_12 as a permutation group.

e-mail address: robertsl@mast.queensu.ca