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arXiv:math/0312506 [math.CO]AbstractReferencesReviewsResources

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

Published 2003-12-30Version 1

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.

Comments: 24 pages
Categories: math.CO, math.RT
Subjects: 05E20, 20G05, 20C11
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