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Irreducible subshifts associated with A2 buildings

Lookup NU author(s): Professor Guyan Robertson

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Abstract

Let $\Gamma$ be a group of type rotating automorphisms of a building $\cB$ of type $\widetilde A_2$, and suppose that $\Gamma$ acts freely and transitively on the vertex set of $\cB$. The apartments of $\cB$ are tiled by triangles, labelled according to $\Gamma$-orbits. Associated with these tilings there is a natural subshift of finite type, which is shown to be irreducible. The key element in the proof is a combinatorial result about finite projective planes.

Publication metadata

Author(s): Robertson G; Steger T

Publication type: Article

Publication status: Published

Journal: Journal of Combinatorial Theory, Series A

Year: 2003

Volume: 103

Issue: 1

Pages: 91-104

ISSN (print): 0097-3165

ISSN (electronic): 1096-0899

Publisher: Academic Press

URL: http://dx.doi.org/10.1016/S0097-3165(03)00069-4

DOI: 10.1016/S0097-3165(03)00069-4

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