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Problem 7. (i) Consider the cyclic group C18 of order 18. Determine all the composition series...

Problem 7.
(i) Consider the cyclic group C18 of order 18. Determine all the composition series of C18 then
verify the Jordan-Holder theorem for C18 (i.e. verify that all those composition series have the same
length and the factors (after rearrangements) are isomorphic).


(ii) Give a composition series of A4.


(iii) Determine all the positive integers n such that the group Sn is solvable.

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