Irreducible subshifts associated with (A)over-tilde2 buildings

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:103

Article

Robertson, G ; Steger, T

关键词: affine building;    subshift of finite type;    tiling system;   

DOI  :  10.1016/S0097-3165(03)00069-4

来源: Elsevier

【 摘 要 】

Let Gamma be a group of type rotating automorphisms of a building beta of type (A) over tilde (2), and suppose that Gamma acts freely and transitively on the vertex set of B. The apartments of B are tiled by triangles, labelled according to F-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. (C) 2003 Elsevier Science (USA). All rights reserved.

【 授权许可】

Free