## H.W. 2 -- Due November 9th

-- Section 1.3: 16. and 17. (These are problems on m-cycles and 2,2-cycles in S_n.) -- Use the previous exercise to state how many 3-cycles, 5-cycles, and 2,2-cycles there are in S_5. -- Compute the conjugacy classes in A_5. (A_5 is the set who elements are the identity, 2,2-cycles, 3-cycles, and 5-cycles.) -- Section 3.1: 36. (If G/Z(G) is cyclic then show G is abelian.) -- Section 3.2: 4. -- Section 3.2: 6.