Irreducible subshifts associated with $\tilde A_2$ buildings

Autor: Robertson, Guyan, Steger, Tim
Rok vydání: 2013
Předmět:
Zdroj: J. Combin. Theory Ser. A, 103 (2003), 91-104
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv