The Library
Generalising some results about right-angled Artin groups to graph products of groups
Tools
Holt, Derek F. and Rees, Sarah (2012) Generalising some results about right-angled Artin groups to graph products of groups. Journal of Algebra, Vol.371 . pp. 94-104. doi:10.1016/j.jalgebra.2012.07.049 ISSN 00218693.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
Official URL: http://dx.doi.org/10.1016/j.jalgebra.2012.07.049
Abstract
We prove three results about the graph product G=G(Γ;Gv,v∈V(Γ)) of groups Gv over a graph Γ. The first result generalises a result of Servatius, Droms and Servatius, proved by them for right-angled Artin groups; we prove a necessary and sufficient condition on a finite graph Γ for the kernel of the map from G to the associated direct product to be free (one part of this result already follows from a result in S. Kimʼs PhD thesis). The second result generalises a result of Hermiller and Šunić, again from right-angled Artin groups; we prove that, for a graph Γ with finite chromatic number, G has a series in which every factor is a free product of vertex groups. The third result provides an alternative proof of a theorem due to Meier, which provides necessary and sufficient conditions on a finite graph Γ for G to be hyperbolic.
Item Type: | Journal Article | ||||
---|---|---|---|---|---|
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Journal of Algebra | ||||
Publisher: | Elsevier Inc. | ||||
ISSN: | 00218693 | ||||
Official Date: | 2012 | ||||
Dates: |
|
||||
Volume: | Vol.371 | ||||
Page Range: | pp. 94-104 | ||||
DOI: | 10.1016/j.jalgebra.2012.07.049 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |