Geodesic
Hereditary conjugacy separability of right-angled Artin groups and its applications
Ashot Minasyan1
1University of Southampton, United Kingdom
Groups, geometry, and dynamics, Tome 6 (2012) no. 2, pp. 335-388

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

DOI

We prove that finite-index subgroups of right-angled Artin groups are conjugacy separable. We then apply this result to establish various properties of other classes of groups. In particular, we show that any word hyperbolic Coxeter group contains a conjugacy separable subgroup of finite index and has a residually finite outer automorphism group. Another consequence of the main result is that Bestvina–Brady groups are conjugacy separable and have solvable conjugacy problem.
DOI : 10.4171/ggd/160
Classification : 20-XX, 00-XX
Mots-clés : Hereditary conjugacy separability, right-angled Artin groups, graph groups, partially commutative groups, Coxeter groups, Bestvina–Brady groups

Ashot Minasyan  1

1 University of Southampton, United Kingdom 
Ashot Minasyan. Hereditary conjugacy separability of right-angled Artin groups and its applications. Groups, geometry, and dynamics, Tome 6 (2012) no. 2, pp. 335-388. doi: 10.4171/ggd/160
@article{10_4171_ggd_160,
     author = {Ashot Minasyan},
     title = {Hereditary conjugacy separability of right-angled {Artin} groups and its applications},
     journal = {Groups, geometry, and dynamics},
     pages = {335--388},
     year = {2012},
     volume = {6},
     number = {2},
     doi = {10.4171/ggd/160},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/160/}
}
TY  - JOUR
AU  - Ashot Minasyan
TI  - Hereditary conjugacy separability of right-angled Artin groups and its applications
JO  - Groups, geometry, and dynamics
PY  - 2012
SP  - 335
EP  - 388
VL  - 6
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4171/ggd/160/
DO  - 10.4171/ggd/160
ID  - 10_4171_ggd_160
ER  - 
%0 Journal Article
%A Ashot Minasyan
%T Hereditary conjugacy separability of right-angled Artin groups and its applications
%J Groups, geometry, and dynamics
%D 2012
%P 335-388
%V 6
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/160/
%R 10.4171/ggd/160
%F 10_4171_ggd_160

Cité par Sources :