I'm thinking something made up of only g in G and the identity... Not sure though.
2025-01-13 02:08:23.1736734103
What is a cyclic group with exactly one generator?
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The generator $g$ equal its inverse $g^{-1}$, $gg^{-1} = g^2 = 1$, $G$ is the trivial group or $Z/2$.