31 citations · 113 across the 46 of their papers we have counts for
8 papers · 1 filter
Co-Hopfianity is not a profinite property
Hyungryul Baik, Wonyong Jang
We exhibit two finitely generated residually finite groups and with isomorphic profinite completions , such that is co-Hopfian while …
Random Groups at Density : Sharp Length Inequalities for Generalized Torsion and a Fixed-width Exclusion via First-order Transfer
Hyungryul Baik
Let be a random group in Gromov's density model with . We prove a sharp quantitative constraint on products of conjugates equal to the identity: for ever…
Acylindrical hyperbolicity of outer automorphism groups of right-angled Artin groups
Hyungryul Baik, Junseok Kim
We study the acylindrical hyperbolicity of the outer automorphism group of a right-angled Artin group . When the defining graph has no SIL-pair (separating intersection of…
On the kernel of actions on asymptotic cones
Hyungryul Baik, Wonyong Jang
Any finitely generated group acts on its asymptotic cones in natural ways. The purpose of this paper is to calculate the kernel of such actions. First, we show that when is…
On the finiteness property of hyperbolic simplicial actions: the right-angled Artin groups and their extension graphs
Hyungryul Baik, Donggyun Seo, Hyunshik Shin
We study the right-angled Artin group action on the extension graph. We show that this action satisfies a certain finiteness property, which is a variation of a condition introduce…
Subgroup growth of virtually cyclic right-angled Coxeter groups and their free products
Hyungryul Baik, Bram Petri, Jean Raimbault
We determine the asymptotic number of index subgroups in virtually cyclic right-angled Coxeter groups and their free products as .
Subgroup growth of right-angled Artin and Coxeter groups
Hyungryul Baik, Bram Petri, Jean Raimbault
We determine the factorial growth rate of the number of finite index subgroups of right-angled Artin groups as a function of the index. This turns out to depend solely on the indep…
Spaces of invariant circular orders of groups
Hyungryul Baik, Eric Samperton
Motivated by well known results in low-dimensional topology, we introduce and study a topology on the set CO(G) of all left-invariant circular orders on a fixed countable and discr…