Matroid automorphisms of the the F4 root system

Stephanie Fried, Aydin Gerek, Gary Gordon, Andrija Peruničič

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Let F4 be the root system associated with the 24-cell, and let M(F4) be the simple linear dependence matroid corresponding to this root system. We determine 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.

Original languageEnglish (US)
Article numberR78
JournalElectronic Journal of Combinatorics
Issue number1 R
StatePublished - Nov 12 2007
Externally publishedYes

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics
  • Applied Mathematics


Dive into the research topics of 'Matroid automorphisms of the the F4 root system'. Together they form a unique fingerprint.

Cite this