Regular subdivision in $\mathbf{Z}[\frac{1+\sqrt{5}}{2}]$
Cleary, Sean
Illinois J. Math., Tome 44 (2000) no. 4, p. 453-464 / Harvested from Project Euclid
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In the ring $\mathbf{Z}[\frac{1+\sqrt{5}}{2}]$, there is a natural subdivision technique analogous to regular subdivision in rational algebraic rings like $\mathbf{Z}[\frac{1}{2}]$. The properties of this subdivision process are developed using the matrix associated to the Fibonacci substitution tiling. These properties are applied to prove some finiteness properties for a discrete group of piecewise-linear homeomorphisms.
Publié le : 2000-09-15
Classification:  20F65,  11B99,  52C23 
@article{1256060407,
     author = {Cleary, Sean},
     title = {Regular subdivision in $\mathbf{Z}[\frac{1+\sqrt{5}}{2}]$},
     journal = {Illinois J. Math.},
     volume = {44},
     number = {4},
     year = {2000},
     pages = { 453-464},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1256060407}
}

Cleary, Sean. Regular subdivision in $\mathbf{Z}[\frac{1+\sqrt{5}}{2}]$. Illinois J. Math., Tome 44 (2000) no. 4, pp.  453-464. http://gdmltest.u-ga.fr/item/1256060407/