An introduction to right-angled Artin groups

R Charney - Geometriae Dedicata, 2007 - Springer
Recently, right-angled Artin groups have attracted much attention in geometric group theory.
They have a rich structure of subgroups and nice algorithmic properties, and they give rise to …

[图书][B] 3-manifold groups

M Aschenbrenner, S Friedl, H Wilton - 2015 - ems.press
The topic of this book is 3-manifold groups, that is, fundamental groups of compact 3-
manifolds. This class of groups sits between the class of fundamental groups of surfaces …

Embedability between right-angled Artin groups

S Kim, T Koberda - Geometry & Topology, 2013 - msp.org
In this article we study the right-angled Artin subgroups of a given right-angled Artin group.
Starting with a graph Γ, we produce a new graph through a purely combinatorial procedure …

Embeddings of graph braid and surface groups in right-angled Artin groups and braid groups

J Crisp, B Wiest - Algebraic & Geometric Topology, 2004 - msp.org
We prove by explicit construction that graph braid groups and most surface groups can be
embedded in a natural way in right-angled Artin groups, and we point out some …

Oriented right-angled Artin pro-ℓ groups and maximal pro-ℓ Galois groups

S Blumer, C Quadrelli, TS Weigel - International Mathematics …, 2024 - academic.oup.com
For a prime number, we introduce and study oriented right-angled Artin pro-groups (oriented
pro-RAAGs for short) associated to a finite oriented graph and a continuous group …

The geometry of right-angled Artin subgroups of mapping class groups

MT Clay, CJ Leininger, J Mangahas - Groups, Geometry, and Dynamics, 2012 - ems.press
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 …

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 …

The Bieri–Neumann–Strebel invariants for graph groups

J Meier, L VanWyk - Proceedings of the London Mathematical …, 1995 - academic.oup.com
Given a finite simplicial graph g, the graph group G g is the group with generators in one-to-
one correspondence with the verticles of g and wuth relations stating that two generators …

Polyhedral products and commutator subgroups of right-angled Artin and Coxeter groups

TE Panov, YA Veryovkin - Sbornik: Mathematics, 2016 - iopscience.iop.org
We construct and study polyhedral product models for classifying spaces of right-angled
Artin and Coxeter groups, general graph product groups and their commutator subgroups …

Outer space for RAAGs

C Bregman, R Charney… - Duke Mathematical Journal, 2023 - projecteuclid.org
For any right-angled Artin group A Γ, we construct a finite-dimensional space O Γ on which
the group Out (A Γ) of outer automorphisms of A Γ acts with finite point stabilizers. We prove …