MATH 4200 Midterm: MATH 4200 LSU Fall 16 Exam f

• School: LSU
• Department: Mathematics
• Course: MATH 4200
• Professor: All

Document Summary

Answer each of the questions on your own paper. True-false answers can be circled on this page. Be sure to show your work so that partial credit can be adequately assessed. Put your name on each page of your paper: [12 points] (a) assume that is a set that is closed under a binary operation . What properties are needed to make a group with the binary operation ? (b) the set = { = 0} is closed under the commutative binary operation de ned by. Prove that the set with the binary operation is an abelian group: [14 points] circle true (t) or false (f). If is a group with = 13, then and {1} are the only subgroups. If is a group with = 12, then the order of every element of is 12.