Is a projective reference in Pn needed for an affine subspace to be set (by means of a group action)?

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Assuming a group action $A \times V \rightarrow{A}$ to set an affine space $A$, and assuming that the space $V$ is a translation-space, that is a vector space; then, is a projective reference needed (beforehand) in order to turn points into vectors on a given coordinate within the quotient space (projective space) and allowing to take subspaces' (hyperplanes') translations?

Thanks you in advance.