Geometric embedding properties of Bestvina–Brady subgroups
H Tran - Algebraic & Geometric Topology, 2017 - msp.org
We compute the relative divergence of right-angled Artin groups with respect to their
Bestvina–Brady subgroups and the subgroup distortion of Bestvina–Brady subgroups. We …
Bestvina–Brady subgroups and the subgroup distortion of Bestvina–Brady subgroups. We …
Distortion of surfaces in 3‐manifolds
HT Nguyen - Journal of Topology, 2019 - Wiley Online Library
Abstract Let g: S↬ N be a properly immersed π 1‐injective surface in a non‐geometric 3‐
manifold N. We compute the distortion of π 1 (S) in π 1 (N) and show that how it is related to …
manifold N. We compute the distortion of π 1 (S) in π 1 (N) and show that how it is related to …
Subgroup distortion of 3-manifold groups
H Nguyen, H Sun - Transactions of the American Mathematical Society, 2020 - ams.org
In this paper, we compute the subgroup distortion of all finitely generated subgroups of all
finitely generated $3 $-manifold groups, and the subgroup distortion in this case can only be …
finitely generated $3 $-manifold groups, and the subgroup distortion in this case can only be …
Quasi-isometry of pairs: surfaces in graph manifolds
HT Nguyen - arXiv preprint arXiv:1808.02722, 2018 - arxiv.org
We show there exists a closed graph manifold $ N $ and infinitely many non-separable,
horizontal surfaces $\{S_ {n}\to N\} _ {n\in\mathbb {N}} $ such that there does not exist a …
horizontal surfaces $\{S_ {n}\to N\} _ {n\in\mathbb {N}} $ such that there does not exist a …
Quasi-isometries of pairs: surfaces in graph manifolds
HT Nguyen - International Journal of Algebra and Computation, 2019 - World Scientific
Quasi-isometries of pairs: Surfaces in graph manifolds Page 1 International Journal of
Algebra and Computation Vol. 29, No. 4 (2019) 681–698 c World Scientific Publishing …
Algebra and Computation Vol. 29, No. 4 (2019) 681–698 c World Scientific Publishing …