31 citations · 44 across the 15 of their papers we have counts for
15 papers · 1 filter
Characterizing property (NL) in {C}oxeter groups
Sahana Balasubramanya, Rachel Niebler, Roberta Shapiro
A group has Property (NL) -- which stands for ``no loxodromics" -- if no element of the group acts loxodromically on any hyperbolic space. In this brief note, we provide a complete…
Acylindricity in Higher Rank, Part I : Fundamentals
Sahana Balasubramanya, Talia Fernos
We present a new notion of non-positively curved groups: the collection of discrete countable groups acting (AU-)acylindrically on finite products of -hyperbolic spaces with gen…
Stable subgroups of graph products
Sahana H Balasubramanya, Marissa Chesser, Alice Kerr +2
We extend the characterization of stable subgroups of right-angled Artin groups of Koberda, Mangahas and Taylor to the case of graph products of infinite groups. Specifically, we s…
The semi-simple theory of higher rank acylindricity
Sahana Balasubramanya, Talia Fernos
We present a new notion of non-positively curved groups: the collection of discrete countable groups acting (AU-)acylindrically on finite products of -hyperbolic spaces with gen…
Hyperbolic actions of Thompson's group and generalizations
Sahana Balasubramanya, Francesco Fournier-Facio, Matthew C. B. Zaremsky
We study the poset of hyperbolic structures on Thompson's group and its generalizations for . The global structure of this poset is as simple as one would expec…
Property in Coexeter groups
Sahana Balasubramanya, Georgia Burkhalter, Rachel Niebler +1
A group has Property if it does not admit a loxodromic element in any hyperbolic action. In other words, a group with this property is inaccessible for study from t…
(Non-)Recognizing Spaces for Stable Subgroups
Sahana Balasubramanya, Marissa Chesser, Alice Kerr +2
In this note, we consider the notion of what we call recognizing spaces for stable subgroups of a given group. When a group is a mapping class group or right-angled Artin group…
A survey on classifying hyperbolic actions of groups
Sahana H. Balasubramanya
This paper is a survey of results proved in recent years that pertain to classifying cobounded hyperbolic actions of any group . In other words, we discuss results that allow us…
Property (NL) for group actions on hyperbolic spaces
Sahana Balasubramanya, Francesco Fournier-Facio, Anthony Genevois +1
We introduce Property (NL), which indicates that a group does not admit any (isometric) action on a hyperbolic space with loxodromic elements. In other words, such a group can…
Valuations, completions, and hyperbolic actions of metabelian groups
Carolyn R. Abbott, Sahana Balasubramanya, Sam Payne +1
Actions on hyperbolic metric spaces are an important tool for studying groups, and so it is natural, but difficult, to attempt to classify all such actions of a fixed group. In thi…
Higher rank confining subsets and hyperbolic actions of solvable groups
Carolyn R. Abbott, Sahana Balasubramanya, Alexander J. Rasmussen
Recent papers of the authors have completely described the hyperbolic actions of several families of classically studied solvable groups. A key tool for these investigations is the…
Finite extensions of and accessible groups
Sahana Balasubramanya
We prove that the group property of being and accessible is preserved under finite extensions.
Hyperbolic Structures on Wreath Products
Sahana H Balasubramanya
The study of the poset of hyperbolic structures on a group was initiated in a paper by C.Abbott, S.Balasubramanya and D.Osin. However, this poset is still very far from being u…
Hyperbolic structures on groups
Carolyn Abbott, Sahana Balasubramanya, Denis Osin
For every group , we introduce the set of hyperbolic structures on , denoted , which consists of equivalence classes of (possibly infinite) generating sets of…
Acylindrical group actions on quasi-trees
Sahana Balasubramanya
A group G is acylindrically hyperbolic if it admits a non-elementary acylindrical action on a hyperbolic space. We prove that every acylindrically hyperbolic group G has a generati…