On commuting elements and embeddings of graph groups and monoids
| dc.creator | Kambites, Mark | |
| dc.date | 2006-01-03 | |
| dc.date | 2006-02-03 | |
| dc.date.accessioned | 2026-07-07T06:58:29Z | |
| dc.date.available | 2026-07-07T06:58:29Z | |
| dc.description | 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 free groups. We also obtain corresponding and more general results for monoids. | |
| dc.description | 14 pages, 1 figure, typos fixed, introduction improved slightly, results unchanged | |
| dc.identifier | https://arxiv.org/abs/math/0601042 | |
| dc.identifier | http://arxiv.org/abs/math/0601042 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107373 | |
| dc.subject | Group Theory | |
| dc.subject | 20F36, 20M05 | |
| dc.title | On commuting elements and embeddings of graph groups and monoids | |
| dc.type | text |