The paper completely classifies rank-3 G-invariant matroids on a finite group G, equivalently tropical subrepresentations of the Boolean regular representation, in terms of equivalence relations on coset spaces.
Matroidal representations of groups
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Matroidal representations of low rank
The paper completely classifies rank-3 G-invariant matroids on a finite group G, equivalently tropical subrepresentations of the Boolean regular representation, in terms of equivalence relations on coset spaces.