Math 893 Solutions to Problem Set 3

#1 Show that a group and its opposite group are isomorphic.

#2 relation between subgroups of G and subgroups of G/N

#2 concluded

#3: Page 33 #15, 5, 13

#4: Page 48 #3

Page 48 #11, 15

#5, #6: Page 60 #14 Lattice of subgroups of Z/30Z

Page 60 #14 concluded

#7: Page 65 #15

#8: Page 85 #5, 10

Page 85 #10 concluded

Page 85 #36

#9: Page 111 #7

Page 111 #7 concluded

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