(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that [tex]\left( \mathbb{Z}/32\mathbb{Z}\right)^{*}[/tex] is not a cyclic group.

2. Relevant equations

3. The attempt at a solution

A little calculator magic has showed that all elements in the group have order 8, but that doesn't seem like a very educational solution :). If anyone could explain why all elements have the same order, it would be much appreciated.

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# Homework Help: Showing that a group isn't cyclic.

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