Cubulating rhombus groups
نویسندگان
چکیده
منابع مشابه
Cubulating Graphs of Free Groups with Cyclic Edge Groups
We prove that if G is a group that splits as a finite graph of finitely generated free groups with cyclic edge groups, and G has no non-Euclidean Baumslag-Solitar subgroups, then G is the fundamental group of a compact nonpositively curved cube complex. In addition, if G is also wordhyperbolic (i.e., if G contains no Baumslag-Solitar subgroups of any type), we show that G is linear (in fact, is...
متن کاملCubulating Random Groups at Density Less than 1/6
We prove that random groups at density less than 1 6 act freely and cocompactly on CAT(0) cube complexes, and that random groups at density less than 1 5 have codimension-1 subgroups. In particular, Property (T ) fails to hold at density less than 1 5 . Abstract. Nous prouvons que les groupes aléatoires en densité strictement inférieure à 1 6 agissent librement et cocompactement sur un complexe...
متن کاملCubulating spaces with walls
The elegant notion of a space with walls was introduced by Haglund and Paulin [6]. Prototypical examples of spaces with walls are CAT(0) cube complexes, introduced by Gromov in [5]. The purpose of this note is to observe that every space with walls has a canonical embedding in a CAT(0) cube complex and, consequently, a group action on a space with walls extends naturally to a group action on a ...
متن کاملDistances on rhombus tilings
The rhombus tilings of a simply connected domain of the Euclidean plane are known to form a flip-connected space (a flip is the elementary operation on rhombus tilings which rotates 180◦ a hexagon made of three rhombi). Motivated by the study of a quasicrystal growth model, we are here interested in better understanding how “tight” rhombus tiling spaces are flip-connected. We introduce a lower ...
متن کاملA Pascal Rhombus
In general, we shall start with one 1 in the first row and three l's in the second row. The recurrence then determines the subsequent rows. The first few rows of the rhombus are given in Figure 2. We assume all blank positions are zero. So, for example, when calculating the second entry in the third row the two zeros are assumed to be up two places and up one and to the left. We call this array...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Groups, Geometry, and Dynamics
سال: 2013
ISSN: 1661-7207
DOI: 10.4171/ggd/188