Aufsatz in einer Fachzeitschrift
On commuting elements and embeddings of graph groups and monoids
Details zur Publikation
Autor(inn)en: | Kambites, M. |
Publikationsjahr: | 2009 |
Zeitschrift: | Proceedings of the Edinburgh Mathematical Society |
Seitenbereich: | 155-170 |
Jahrgang/Band : | 52 |
Erste Seite: | 155 |
Letzte Seite: | 170 |
ISSN: | 0013-0915 |
Zusammenfassung, 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.
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.
