On Commuting Elements and Embeddings of Graph Groups and Monoids
نویسنده
چکیده
We study commutation properties of subsets of right-angled Artin groups and trace monoids. We show that if Γ is any graph not containing a four-cycle without chords, then the group G(Γ) does not contain four elements whose commutation graph is a four-cycle; a consequence is that G(Γ) does not have a subgroup isomorphic to a direct product of non-abelian free groups. We also obtain corresponding and more general results in the monoid case.
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تاریخ انتشار 2008