The invariant factors of the incidence matrices of points and subspaces in PG(n,q) and AG(n,q)
David B. Chandler, Peter Sin, Qing Xiang
Abstract
We determine the Smith normal forms of the incidence matrices of points and projective (r-1)-dimensional subspaces of PG(n,q) and of the incidence matrices of points and r-dimensional affine subspaces of AG(n,q) for all n, r, and arbitrary prime power q.
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