In this question H is the subset {1, 6, 29, 34} of (U35, X35), and K is the subgroup of (U35, X35) generated by 8. (a) Show that H is a subgroup of (U35, X35). (b) List the elements of K. (c) Are H and K isomorphic? Explain your answer briefly. (d) Write down two different isomorphisms from K to (Z4, +4).

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A: Please check step 2 and 3 for the solution.!

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Q: problem? Please write a solution on a piece of paper and upload it here. Question: Let G1 = ℤ3 , G2…

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Q: 2 Prove That D₂ = 8 cannot be the internal direct product of two of its proper subgroups.

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Q: Let G=U(18) and H={1,17} be subgroup of G. The number of distinct left cosets a of H in G is: * 3.

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Q: (Z., +6) is a subgroup of (Zg, +8)

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