MATH 4200 Midterm: MATH 4200 LSU Fall 18Exam 3reva
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Exam 3 will be on monday, november 19, 2018. 11, section 13. 1, and chapter 16 in judson. You should be sure to know precise de nition of the terms we have used, and you should know precise statements (including all relevant hypotheses) for the main theorems proved. Know the following terms or phrases, including de nitions, and results. In this case the set g/k = {ka : a g} of right (=left) cosets of. Some of the properties of this group g/k are: Ker( ) is a normal subgroup of g: isomorphism theorem for groups. If : g h is a group homomorphism, then (g) = g/ ker( ): know the criterion for an abelian group g to be the internal direct product of subgroups. H and k. speci cally, g is the internal direct sum of h and k provided hk = {hk : h h, k k} and h k = {1}.
