can someone please help? i'm studying for an exam and i'm stuck on this problem. Prove that U(2^n) (n>less than 3) is not cyclic. thanks so much
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Originally Posted by dlin3 can someone please help? i'm studying for an exam and i'm stuck on this problem. Prove that U(2^n) (n>less than 3) is not cyclic. thanks so much 1)Prove that for by induction. 2)Now show that and . 3)Show that . 4)Therefore no element has order in .
How did you get 5^(2n-3) = 1 + 2^(n-1) * (2n)?
Originally Posted by dlin3 How did you get 5^(2n-3) = 1 + 2^(n-1) * (2n)? Use what I said above. Use induction. And the fact if then (where is prime, in this case two).
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