What is $\mathbb{Z}^*_p$?

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What is $\mathbb{Z}^*_p$ ?

I think $\mathbb{Z}_p$ is the ring of p-adic integers but not sure what the * represents.

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The star usually refers to the group of units of a ring $R$. Another notation is $U(R)$.

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It's the group of $ p $-adic units.