Let $\displaystyle G$ be a finite group. Prove that if $\displaystyle \mid G \mid$ is odd then every element in $\displaystyle g \in G$ can be expressed as $\displaystyle g=x^2$ for some $\displaystyle x \in G$.

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- Oct 6th 2010, 01:27 AMMarkeurElement of a Group
Let $\displaystyle G$ be a finite group. Prove that if $\displaystyle \mid G \mid$ is odd then every element in $\displaystyle g \in G$ can be expressed as $\displaystyle g=x^2$ for some $\displaystyle x \in G$.

- Oct 6th 2010, 01:34 AMSwlabr