Geodesic
Commensurability of graph products
Januszkiewicz, Tadeusz1 ; Świątkowski, Jacek1
1Instytut Matematyczny Uniwersytetu Wrocławskiego, pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland
Algebraic and Geometric Topology, Tome 1 (2001) no. 1, pp. 587-603
Cet article a éte moissonné depuis la source Mathematical Sciences Publishers

Voir la notice de l'article

We define graph products of families of pairs of groups and study the question when two such graph products are commensurable. As an application we prove linearity of certain graph products.

DOI : 10.2140/agt.2001.1.587
Keywords: graph products, commensurability

Januszkiewicz, Tadeusz  1   ; Świątkowski, Jacek  1

1 Instytut Matematyczny Uniwersytetu Wrocławskiego, pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland 
@article{10_2140_agt_2001_1_587,
     author = {Januszkiewicz, Tadeusz and \'Swi\k{a}tkowski, Jacek},
     title = {Commensurability of graph products},
     journal = {Algebraic and Geometric Topology},
     pages = {587--603},
     year = {2001},
     volume = {1},
     number = {1},
     doi = {10.2140/agt.2001.1.587},
     url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2001.1.587/}
}
TY  - JOUR
AU  - Januszkiewicz, Tadeusz
AU  - Świątkowski, Jacek
TI  - Commensurability of graph products
JO  - Algebraic and Geometric Topology
PY  - 2001
SP  - 587
EP  - 603
VL  - 1
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.2140/agt.2001.1.587/
DO  - 10.2140/agt.2001.1.587
ID  - 10_2140_agt_2001_1_587
ER  - 
%0 Journal Article
%A Januszkiewicz, Tadeusz
%A Świątkowski, Jacek
%T Commensurability of graph products
%J Algebraic and Geometric Topology
%D 2001
%P 587-603
%V 1
%N 1
%U http://geodesic.mathdoc.fr/articles/10.2140/agt.2001.1.587/
%R 10.2140/agt.2001.1.587
%F 10_2140_agt_2001_1_587
Januszkiewicz, Tadeusz; Świątkowski, Jacek. Commensurability of graph products. Algebraic and Geometric Topology, Tome 1 (2001) no. 1, pp. 587-603. doi: 10.2140/agt.2001.1.587

[1] M R Bridson, A Haefliger, Metric spaces of non-positive curvature, Grundlehren der Mathematischen Wissenschaften 319, Springer (1999)

[2] M Bourdon, Sur les immeubles fuchsiens et leur type de quasi-isométrie, Ergodic Theory Dynam. Systems 20 (2000) 343

[3] M Bourdon, Sur la dimension de Hausdorff de l'ensemble limite d'une famille de sous-groupes convexes co-compacts, C. R. Acad. Sci. Paris Sér. I Math. 325 (1997) 1097

[4] M W Davis, Buildings are $\mathrm{CAT}(0)$, from: "Geometry and cohomology in group theory (Durham, 1994)", London Math. Soc. Lecture Note Ser. 252, Cambridge Univ. Press (1998) 108

[5] M W Davis, T Januszkiewicz, Right-angled Artin groups are commensurable with right-angled Coxeter groups, J. Pure Appl. Algebra 153 (2000) 229

[6] T Hsu, D T Wise, On linear and residual properties of graph products, Michigan Math. J. 46 (1999) 251

[7] S P Humphries, On representations of Artin groups and the Tits conjecture, J. Algebra 169 (1994) 847

[8] F T Leighton, Finite common coverings of graphs, J. Combin. Theory Ser. B 33 (1982) 231

[9] K Whyte, Amenability, bi–Lipschitz equivalence, and the von Neumann conjecture, Duke Math. J. 99 (1999) 93

Cité par Sources :