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Unformatted text preview: (a) Find  U ( n )  for n ∈ { 3 , 4 , 5 , 6 , 7 , 8 , 15 , 24 } . (b) Identify the isomorphism types of U (3), U (4), U (5), U (6), U (7), and U (8). (c) Determine the orders of the elements of U (15) and U (24). Use your answer to show that these two groups are not isomorphic, and that neither group is cyclic. (d) List the subgroups of U (15), and identify the isomorphism type of each subgroup. (e) List the subgroups of U (24), and identify the isomorphism type of each subgroup. 1...
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This document was uploaded on 11/03/2010.
 Spring '09
 Math, Algebra

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