## Algebraic invariants for right-angled Artin groups (2006)

by
Stefan Papadima
,
Alexander I. Suciu

Venue: | MATHEMATISCHE ANNALEN |

Citations: | 27 - 17 self |

### BibTeX

@ARTICLE{Papadima06algebraicinvariants,

author = {Stefan Papadima and Alexander I. Suciu},

title = {Algebraic invariants for right-angled Artin groups},

journal = {MATHEMATISCHE ANNALEN},

year = {2006},

volume = {34},

number = {3},

pages = {533--555}

}

### OpenURL

### Abstract

A finite simplicial graph Γ determines a right-angled Artin group G_Γ, with generators corresponding to the vertices of Γ, and with a relation vw=wv for each pair of adjacent vertices. We compute the lower central series quotients, the Chen quotients, and the (first) resonance variety of G_Γ, directly from the graph Γ.