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On the uniqueness of matroid representations over GF(4). (English) Zbl 0609.05028
(In particular this includes 3-connected matroids.) For \(q=2,3\) it has long been known that all GF(q)-representations are unique. We observe that no amount of connectivity guarantees uniqueness if \(q>4\), but conjecture that for 3-connected matroids the number of distinct GF(q)- representations is bounded by some function of q.

MSC:
05B35 Combinatorial aspects of matroids and geometric lattices
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