MATH 4200 Midterm: MATH 4200 LSU Fall 18 Exam 2reva
Document Summary
Exam 2 will be on friday, october 19, 2016. The syllabus for this exam is chapters 4, 5, 6, 9, 10 in judson, plus the cyclic group supplement. 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. Dn = ha, b|an = e, b2 = e, bab = a 1i. |sn| = n: an is the group of even permutations in sn. Math 4200 exam ii review: every permutation is a product of disjoint cycles, a transposition is a cycle of length 2. Every permutation is a product of trans- positions. The number of transpositions in such a product for a permutation is always even or always odd. Is even if it is a product of an even number of transpositions; is odd if it is a product of an odd number of transpositions: an r-cycle (j1, j2, .
