7 citations · 14 across the 14 of their papers we have counts for
6 papers · 1 filter
Dynamics of Dehn Twists in the Outer Automorphism Group of a Free Group
Donggyun Seo
We study Dehn twists in the outer automorphism group of a finitely generated non-abelian free group. Our main result states that, under certain compatibility conditions, sufficient…
Percolation in acylindrically hyperbolic groups
Inhyeok Choi, Donggyun Seo
Let be an acylindrically hyperbolic group. We prove that Bernoulli bond percolation on every Cayley graph of has a nonuniqueness phase, in which there are infinitely many i…
The Pants Graph of a Free Group
Donggyun Seo
We introduce the concept of a pants decomposition for a finitely generated free group and construct the corresponding pants graph. A pants decomposition of a free group leads to th…
Liftable automorphisms of right-angled Artin groups
Sangrok Oh, Donggyun Seo, Philippe Tranchida
Given a regular covering map of graphs, we investigate the subgroup of the automorphism group of the right-angled Arti…
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…
Powers of Dehn twists generating right-angled Artin groups
Donggyun Seo
We give a bound for the exponents of powers of Dehn twists to generate a right-angled Artin group. Precisely, if is a finite collection of pairwise distinct simple cl…