Geodesic
Alternating quotients of right-angled Coxeter groups
Michal Buran1
1University of Cambridge, UK
Groups, geometry, and dynamics, Tome 15 (2021) no. 3, pp. 965-987

Voir la notice de l'article provenant de la source EMS Press

DOI

Let W be a right-angled Coxeter group corresponding to a finite non-discrete graph G with at least 3 vertices. Our main theorem says that Gc is connected if and only if for any infinite index convex-cocompact subgroup H of W and any finite subset {γ1​,...,γn​}⊂W∖H there is a surjection f from W to a finite alternating group such that f(γi​)∈/f(H). A corollary is that a right-angled Artin group splits as a direct product of cyclic groups and groups with many alternating quotients in the above sense.
DOI : 10.4171/ggd/617
Classification : 20-XX
Mots-clés : Right-angled Artin groups, right-angled Coxeter groups, surface groups, residual properties

Michal Buran  1

1 University of Cambridge, UK 
Michal Buran. Alternating quotients of right-angled Coxeter groups. Groups, geometry, and dynamics, Tome 15 (2021) no. 3, pp. 965-987. doi: 10.4171/ggd/617
@article{10_4171_ggd_617,
     author = {Michal Buran},
     title = {Alternating quotients of right-angled {Coxeter} groups},
     journal = {Groups, geometry, and dynamics},
     pages = {965--987},
     year = {2021},
     volume = {15},
     number = {3},
     doi = {10.4171/ggd/617},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/617/}
}
TY  - JOUR
AU  - Michal Buran
TI  - Alternating quotients of right-angled Coxeter groups
JO  - Groups, geometry, and dynamics
PY  - 2021
SP  - 965
EP  - 987
VL  - 15
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4171/ggd/617/
DO  - 10.4171/ggd/617
ID  - 10_4171_ggd_617
ER  - 
%0 Journal Article
%A Michal Buran
%T Alternating quotients of right-angled Coxeter groups
%J Groups, geometry, and dynamics
%D 2021
%P 965-987
%V 15
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/617/
%R 10.4171/ggd/617
%F 10_4171_ggd_617

Cité par Sources :