Jim Geelen, Peter Nelson
Published 2013-06-11Version 1
We show that, if $q$ is a prime power at most 5, then every rank-$r$ matroid with no $U_{2,q+2}$-minor has no more lines than a rank-$r$ projective geometry over GF$(q)$. We also give examples showing that for every other prime power this bound does not hold.
A generalization of the Askey-Wilson relations using a projective geometry
Using a Grassmann graph to recover the underlying projective geometry
A $Q$-polynomial structure associated with the projective geometry $L_N(q)$
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