Geodesic
Matroids arising from nested sequences of flats in projective and affine geometries
Matthew Mizell1 ; James Oxley1
1Louisiana State University
The electronic journal of combinatorics, Tome 31 (2024) no. 2
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Targets are matroids that arise from a nested sequence of flats in a projective geometry. This class of matroids was introduced by Nelson and Nomoto, who found the forbidden induced restrictions for binary targets. This paper generalizes their result to targets arising from projective geometries over $GF(q)$. We also consider targets arising from nested sequences of affine flats and determine the forbidden induced restrictions for affine targets.
DOI : 10.37236/12183
Classification : 52B40, 05B35, 51A05
Mots-clés : matroids, nested flats, projective geometry, affine geometry, induced restriction

Matthew Mizell  1   ; James Oxley  1

1 Louisiana State University 
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     author = {Matthew Mizell and James Oxley},
     title = {Matroids arising from nested sequences of flats in projective and affine geometries},
     journal = {The electronic journal of combinatorics},
     year = {2024},
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Matthew Mizell; James Oxley. Matroids arising from nested sequences of flats in projective and affine geometries. The electronic journal of combinatorics, Tome 31 (2024) no. 2. doi: 10.37236/12183

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