Geometry and combinatorics via right-angled Artin groups
T Koberda - In the Tradition of Thurston II: Geometry and Groups, 2022 - Springer
We survey the relationship between the combinatorics and geometry of graphs and the
algebraic structure of right-angled Artin groups. We concentrate on the defining graph of the …
algebraic structure of right-angled Artin groups. We concentrate on the defining graph of the …
Commensurability of Baumslag-Solitar groups
M Casals-Ruiz, I Kazachkov, A Zakharov - arXiv preprint arXiv:1910.02117, 2019 - arxiv.org
arXiv:1910.02117v1 [math.GR] 4 Oct 2019 Page 1 arXiv:1910.02117v1 [math.GR] 4 Oct 2019
COMMENSURABILITY OF BAUMSLAG-SOLITAR GROUPS MONTSERRAT CASALS-RUIZ …
COMMENSURABILITY OF BAUMSLAG-SOLITAR GROUPS MONTSERRAT CASALS-RUIZ …
Quasi-isometry classification of right-angled Artin groups that split over cyclic subgroups
A Margolis - Groups, Geometry, and Dynamics, 2020 - ems.press
For a one-ended right-angled Artin group, we give an explicit description of its JSJ tree of
cylinders over infinite cyclic subgroups in terms of its defining graph. This is then used to …
cylinders over infinite cyclic subgroups in terms of its defining graph. This is then used to …
Commensurability in Artin groups of spherical type.
M Cumplido, L Paris - Revista Mathematica Iberoamericana, 2022 - ems.press
We give an almost complete classification of Artin groups of spherical type up to
commensurability. Let A and A0 be two Artin groups of spherical type, and let A1;:::; Ap …
commensurability. Let A and A0 be two Artin groups of spherical type, and let A1;:::; Ap …
On commensurability of right-angled Artin groups II: RAAGs defined by paths
M Casals–Ruiz, I Kazachkov… - … Proceedings of the …, 2021 - cambridge.org
In this paper we continue the study of right-angled Artin groups up to commensurability
initiated in [CKZ]. We show that RAAGs defined by different paths of length greater than 3 …
initiated in [CKZ]. We show that RAAGs defined by different paths of length greater than 3 …
Commensurability in Artin groups of spherical type
M Cumplido Cabello, L Paris - … MATEMATICA IBEROAMERICANA, 38 (2) …, 2021 - idus.us.es
We give an almost complete classification of Artin groups of spherical type up to
commensurability. Let A and A0 be two Artin groups of spherical type, and let A1;:::; Ap …
commensurability. Let A and A0 be two Artin groups of spherical type, and let A1;:::; Ap …
Commensurability invariance for abelian splittings of right-angled Artin groups, braid groups and loop braid groups
M Zaremsky - Algebraic & Geometric Topology, 2019 - msp.org
We prove that if a right-angled Artin group A Γ is abstractly commensurable to a group
splitting nontrivially as an amalgam or HNN extension over ℤ n, then A Γ must itself split …
splitting nontrivially as an amalgam or HNN extension over ℤ n, then A Γ must itself split …