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Matroid Automorphisms and Symmetry Groups
Published online by Cambridge University Press: 01 March 2000
Abstract
For a subgroup W of the hyperoctahedral group On which is generated by reflections, we consider the linear dependence matroid MW on the column vectors corresponding to the reflections in W. We determine all possible automorphism groups of MW and determine when W ≅ = Aut(MW). This allows us to connect combinatorial and geometric symmetry. Applications to zonotopes are also considered. Signed graphs are used as a tool for constructing the automorphisms.
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- 2000 Cambridge University Press
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