Field and group

Groups, Rings, Domains, Modules, etc, Galois theory
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Papapetros Vaggelis
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Joined: Mon Nov 09, 2015 1:52 pm

Field and group

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Post by Papapetros Vaggelis »

Let \(\displaystyle{\left(\mathbb{F},+,\cdot\right)}\) be a field and \(\displaystyle{G}\) a finite subgroup of the group \(\displaystyle{\left(U(\mathbb{F})=\mathbb{F}-\left\{0\right\},\cdot\right)}\) . Prove that the group \(\displaystyle{\left(G,\cdot\right)}\) is cyclic.
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