# Group rings and projective modules

If $A$ is a lattice (i.e. a fin. gen. free $\mathbb{Z}$-module), and $G$ is some group which acts on $A$, will $A$ be a projective $\mathbb{Z}[G]$-module?

Thanks

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And it is very rare that $\mathbb Z$ be a projective $\mathbb Z[G]$-module. –  Mariano Suárez-Alvarez Dec 20 '12 at 16:30