Matroid automorphisms of the F-4 root system
Fried, S.; Gerek, A.; Gordon, Gary; Perunicic, A.
Let F-4 be the root system associated with the 24-cell, and let M (F-4) be the simple linear dependence matroid corresponding to this root system. We deter -mine the automorphism group of this matroid and compare it to the Coxeter group W for the root system. We find non-geometric automorphisms that preserve the matroid but not the root system.
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