It is shown that if K is a set of k points of PG(r, q) of hyperplane- type (m, n)_{r−1}, q = p^h, p an odd prime and h ≥ 1, then either n−m ≤ q (r−1)/2 or p divides m, n and k or p divides m − 1, n − 1 and k − 1.
Note on sets of hyperplane-type (m, n)_{r−1 }in PG(r, q)
Vito Napolitano
2022
Abstract
It is shown that if K is a set of k points of PG(r, q) of hyperplane- type (m, n)_{r−1}, q = p^h, p an odd prime and h ≥ 1, then either n−m ≤ q (r−1)/2 or p divides m, n and k or p divides m − 1, n − 1 and k − 1.File in questo prodotto:
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