What finite groups always have a square root for each element? – math.stackexchange.com

What finite groups always have a square root for each element? – math.stackexchange.com

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If $G$ is an odd cyclic group, then each element $g$ of $G$ has another element $h$ such that $h^2=g$. This is because $2 x = y \mod p$ is solvable for $x$. (Note this is not the same as solving ...

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