Unformatted text preview: ρ , ρ-1 (c) Is ρ in A 8 ? (d) Calculate ρ 13 4. Determine if any of the following pairs are isomorphic groups.( JUSTIFY ) (a) A 3 and Z 3 (b) U(12) and Z 4 (c) U(14) and Z 6 (d) U(18) and Z 18 5. In S 4 consider the subgroup H = A 4 ∩ D 4 . (a) List all the elements of H (b) Find all the distinct left cosets of H in A 4 (c) Find all the distinct left cosets of H in D 4 (d) H is isomorphic to which group we are familiar with? Explain. Each problem is worth 20points....
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- Spring '08
- Algebra, Subgroup, Cyclic group, Coset, distinct left cosets, Z462