The invariant factors of the incidence matrices of points and subspaces in PG(n,q) and AG(n,q)

Details The invariant factors of the incidence matrices of points and subspaces in PG(n,q) and AG(n,q) The invariant factors of the incidence matrices of points and subspaces in PG(n,q) and AG(n,q)

2003-12-30

arxiv.org/abs/math/0312506v1

Mathematics

Combinatorics

24 pages

Scientific paper

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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