MATH 4023 Midterm: MATH 4023 LSU 4023s09 Exam 2
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Answer each of the questions on your own paper, and be sure to show your work so that partial credit can be adequately assessed. Credit will not be given for answers (even correct ones) without supporting work. = { : 10 < 9} . De ne an equivalence relation on by the rule 4 ( ). You do not need to verify that this is an equivalence relation. List all of the equivalence classes for : [25 points] let = 1 2 3 4 5 6 7 8 9. Exam 1: [30 points] suppose that is the group de ned by the following multiplication table. We are denoting the identity of by the symbol 1. 1 (a) find the element such that = . If has a subgroup of order 24 and a subgroup.
