[[Finite geometry MOC]]
# Finite projective space

A **finite projective space** is an [[abstract projective space]] $\mathcal{S}$ consisting of finitely many points. #m/def/geo/fin

## Properties

1. Every finite projective space of dimension $n \geq 3$ is isomorphic to the [[Galois geometry]] $\mathrm{PG}(n,q)$.[^2020]

[^2020]: 2020\. [[Sources/@kissFiniteGeometries2020|Finite geometries]], ¶4.6, p. 77

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