A Meshalkin theorem for projective geometries

Details A Meshalkin theorem for projective geometries A Meshalkin theorem for projective geometries

2001-12-07

arxiv.org/abs/math/0112069v2

Journal of Combinatorial Theory Series A 102 (2003), 433-441

Mathematics

Combinatorics

8 pages, added journal reference

Scientific paper

Let M be a family of sequences (a_1,...,a_p) where each a_k is a flat in a projective geometry of rank n (dimension n-1) and order q, and the sum of ranks, r(a_1) + ... + r(a_p), equals the rank of the join a_1 v ... v a_p. We prove upper bounds on |M| and corresponding LYM inequalities assuming that (i) all joins are the whole geometry and for each k

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