An introduction to right-angled Artin groups
By Ruth Charney. 2006
305 citations recorded by the source corpus.
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 cubical complexes with a variety of applications. This survey article is meant to introduce readers to these groups and to give an overview of the relevant literature.
Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/24a69f61ae48b67c40945fbcc70d82af28fc827e
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In Discrete Mathematics and Combinatorics
- Denis V. Osin
- Vincent Guirardel
- Franccois Dahmani
- Gilbert Levitt
- Goulnara Arzhantseva
- Alessandro Sisto
- Johanna Mangahas
- Christopher J. Leininger
In Geometry and Topology
- Vincent Guirardel
- Denis V. Osin
- Gilbert Levitt
- Franccois Dahmani
- Alessandro Sisto
- Goulnara Arzhantseva
- Christopher H. Cashen
- Johanna Mangahas
In Mathematical Physics
- Vincent Guirardel
- Denis V. Osin
- Gilbert Levitt
- Franccois Dahmani
- Alessandro Sisto
- Goulnara Arzhantseva
- Christopher H. Cashen
- Johanna Mangahas
Citations in the corpus
- Right-angled Artin groups and a generalized isomorphism problem for finitely generated subgroups of mapping class groups (2010, unknown): “See [11], for instance.”
- Jsj Decompositions of Groups (2016, background): “ngroupA (RAAG,alsocalled graph group, or partially commutative group) is the group presented as follows: there is onegeneratora v pervertex,andarelationa va w= a wa v ifthereisanedgebetweenvand w. See[Cha07]foranintroduction. The decomposition of into connected components induces a decomposition of ”
- Growth tight actions (2014, background): “See [Charney 2007] for more background on right angled Artin groups.”
- Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces (2011, background): “For instance, this applies to right angled Artin and Coxeter groups acting on the universal covers of their Salvetti complexes and their Davis complexes, respectively (see [43] for details).”
- The geometry of right angled Artin subgroups of mapping class groups (2010, methodology): “We refer the reader to Charney’s survey article [7] for a discussion.”