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MR2231879 05B20 (05E20 20G05)
Chandler, David B.; Sin, Peter; Xiang, Qing The invariant factors of the incidence matrices of points and subspaces in ${\rm PG}(n,q)$ and ${\rm AG}(n,q)$. Trans. Amer. Math. Soc. 358 (2006), no. 11, 4935–4957.
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