Journal article
On commuting elements and embeddings of graph groups and monoids



Publication Details
Authors:
Kambites, M.
Publication year:
2009
Journal:
Proceedings of the Edinburgh Mathematical Society
Pages range:
155-170
Volume number:
52
Start page:
155
End page:
170
ISSN:
0013-0915

Abstract
We study commutation properties of subsets of right-angled Artin groups and trace monoids. We show that if Gamma is any graph not containing a four-cycle. without chords, then the group G(Gamma) does not contain four elements whose commutation graph is a four-cycle; a consequence is that G(Gamma) does not have a subgroup isomorphic to a direct product of non-abelian groups. We also obtain corresponding and more. general results in the monoid case.

Last updated on 2019-01-11 at 16:03