Problem 4.37. Consider U10 = 1,3,7,9.(a) Find the group table for U10.(b) Is U10 cyclic? If so, list elements of U10 that individuallygenerate U10. If U10 is not cyclic, explain why.(c) Is U10 isomorphic to either of R4 or V4 ? Justify youranswer.(d) Is U10 isomorphic to Z4 ? Justify your answer.(e) Draw the subgroup lattice for U10.
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