[图书][B] Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces
We introduce and study the notions of hyperbolically embedded and very rotating families of
subgroups. The former notion can be thought of as a generalization of the peripheral …
subgroups. The former notion can be thought of as a generalization of the peripheral …
Hierarchically hyperbolic spaces, I: Curve complexes for cubical groups
In the context of CAT (0) cubical groups, we develop an analogue of the theory of curve
complexes and subsurface projections. The role of the subsurfaces is played by a collection …
complexes and subsurface projections. The role of the subsurfaces is played by a collection …
JSJ decompositions of groups
V Guirardel, G Levitt - arXiv preprint arXiv:1602.05139, 2016 - arxiv.org
This is an account of the theory of JSJ decompositions of finitely generated groups, as
developed in the last twenty years or so. We give a simple general definition of JSJ …
developed in the last twenty years or so. We give a simple general definition of JSJ …
Right-angled Artin groups and a generalized isomorphism problem for finitely generated subgroups of mapping class groups
T Koberda - Geometric and Functional Analysis, 2012 - Springer
Consider the mapping class group Mod g, p of a surface Σ g, p of genus g with p punctures,
and a finite collection f 1,..., fk of mapping classes, each of which is either a Dehn twist about …
and a finite collection f 1,..., fk of mapping classes, each of which is either a Dehn twist about …
Statistically convex-cocompact actions of groups with contracting elements
W Yang - International Mathematics Research Notices, 2019 - academic.oup.com
This paper presents a study of the asymptotic geometry of groups with contracting elements,
with emphasis on a subclass of statistically convex-cocompact (SCC) actions. The class of …
with emphasis on a subclass of statistically convex-cocompact (SCC) actions. The class of …
The geometry of right-angled Artin subgroups of mapping class groups
We describe sufficient conditions which guarantee that a finite set of mapping classes
generate a right-angled Artin group quasi-isometrically embedded in the mapping class …
generate a right-angled Artin group quasi-isometrically embedded in the mapping class …
3-manifold groups
M Aschenbrenner, S Friedl, H Wilton - arXiv preprint arXiv:1205.0202, 2012 - arxiv.org
arXiv:1205.0202v3 [math.GT] 24 Apr 2013 Page 1 arXiv:1205.0202v3 [math.GT] 24 Apr 2013
3-MANIFOLD GROUPS MATTHIAS ASCHENBRENNER, STEFAN FRIEDL, AND HENRY …
3-MANIFOLD GROUPS MATTHIAS ASCHENBRENNER, STEFAN FRIEDL, AND HENRY …
Hereditary conjugacy separability of right-angled Artin groups and its applications
A Minasyan - Groups, Geometry, and Dynamics, 2012 - ems.press
We prove that finite-index subgroups of right-angled Artin groups are conjugacy separable.
We then apply this result to establish various properties of other classes of groups. In …
We then apply this result to establish various properties of other classes of groups. In …
Homology of planar polygon spaces
M Farber, D Schütz - Geometriae Dedicata, 2007 - Springer
In this paper, we study topology of the variety of closed planar n-gons with given side
lengths l_1,\dots, l_n. The moduli space M_ ℓ where ℓ=(l_1,\dots, l_n), encodes the shapes …
lengths l_1,\dots, l_n. The moduli space M_ ℓ where ℓ=(l_1,\dots, l_n), encodes the shapes …
[图书][B] The compressed word problem for groups
M Lohrey - 2014 - Springer
The study of computational problems in combinatorial group theory goes back more than
100 years. In a seminal paper from 1911, Max Dehn posed three decision problems [46]: the …
100 years. In a seminal paper from 1911, Max Dehn posed three decision problems [46]: the …