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- W2045121122 abstract "We prove three results about the graph product G = G ( Γ ; G v , v ∈ V ( Γ ) ) of groups G v 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." @default.
- W2045121122 created "2016-06-24" @default.
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- W2045121122 date "2012-12-01" @default.
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- W2045121122 title "Generalising some results about right-angled Artin groups to graph products of groups" @default.
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- W2045121122 doi "https://doi.org/10.1016/j.jalgebra.2012.07.049" @default.
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