Property (QT) of relatively hierarchically hyperbolic groups
B Tao - arXiv preprint arXiv:2412.20065, 2024 - arxiv.org
Using the projection complex machinery, Bestvina-Bromberg-Fujiwara, Hagen-Petyt and
Han-Nguyen-Yang prove that several classes of nonpositively-curved groups admit …
Han-Nguyen-Yang prove that several classes of nonpositively-curved groups admit …
Quasi-isometric rigidity of extended admissible groups
A Margolis, HT Nguyen - arXiv preprint arXiv:2401.03635, 2024 - arxiv.org
arXiv:2401.03635v1 [math.GR] 8 Jan 2024 Page 1 QUASI-ISOMETRIC RIGIDITY OF
EXTENDED ADMISSIBLE GROUPS ALEX MARGOLIS AND HOANG THANH NGUYEN …
EXTENDED ADMISSIBLE GROUPS ALEX MARGOLIS AND HOANG THANH NGUYEN …
Quasi-trees, Lipschitz free spaces, and actions on
I Vergara - arXiv preprint arXiv:2409.14186, 2024 - arxiv.org
We show that the Lipschitz free space of a countable simplicial quasi-tree is isomorphic to
$\ell^ 1$. As a consequence, every finitely generated group with Property (QT) of Bestvina …
$\ell^ 1$. As a consequence, every finitely generated group with Property (QT) of Bestvina …
Sublinearly Morse boundary of CAT (0) admissible groups
We show that if 𝐺 is an admissible group acting geometrically on a CAT(0) space 𝑋, then 𝐺
is a hierarchically hyperbolic space and its 𝜅-Morse boundary (∂ κ G, ν) is a model for the …
is a hierarchically hyperbolic space and its 𝜅-Morse boundary (∂ κ G, ν) is a model for the …
[PDF][PDF] Separability properties of extended admissible groups
HT Nguyen - 2024 - researchgate.net
Extended admissible groups belong to a particular class of graph of groups which possess a
graph of groups decomposition generalizing that of any non-geometric 3-manifold and …
graph of groups decomposition generalizing that of any non-geometric 3-manifold and …
Largest hyperbolic action of 3‐manifold groups
The set of equivalence classes of cobounded actions of a group GG on different hyperbolic
metric spaces carries a natural partial order. Following Abbott–Balasubramanya–Osin, the …
metric spaces carries a natural partial order. Following Abbott–Balasubramanya–Osin, the …
Property (QT) for 3-manifold groups
According to Bestvina-Bromberg-Fujiwara, a finitely generated group is said to have
property (QT) if it acts isometrically on a finite product of quasi-trees so that orbital maps are …
property (QT) if it acts isometrically on a finite product of quasi-trees so that orbital maps are …
Almost invariant CND kernels and proper uniformly Lipschitz actions on subspaces of
I Vergara - arXiv preprint arXiv:2109.12949, 2021 - arxiv.org
We define the notion of almost invariant conditionally negative definite kernel and use it to
give a characterisation of groups admitting a proper uniformly Lipschitz affine action on a …
give a characterisation of groups admitting a proper uniformly Lipschitz affine action on a …
Strongly Quasiconvex subgroups in graphs of groups
HT Nguyen, HC Tran - arXiv preprint arXiv:2204.09242, 2022 - arxiv.org
Given a graph of groups $\mathcal {G}=(\Gamma,\{G_v\},\{G_e\}) $ with certain conditions on
vertex groups and $ G $ acts acylindrically on its Bass-Serre tree $ T $. Let $ H $ be a finitely …
vertex groups and $ G $ acts acylindrically on its Bass-Serre tree $ T $. Let $ H $ be a finitely …
[PDF][PDF] QUASI-REDIRECTING BOUNDARIES OF NON-POSITIVELY CURVED GROUPS
In this paper, we show that the quasi-redirecting boundary (QR boundary) is well-defined as
a topological space for several classes of groups with nonpositive curvature: admissible …
a topological space for several classes of groups with nonpositive curvature: admissible …