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- W4385781572 abstract "We provide an explicit construction that allows one to easily decompose a graph braid group as a graph of groups. This allows us to compute the braid groups of a wide range of graphs, as well as providing two general criteria for a graph braid group to split as a nontrivial free product, answering two questions of Genevois. We also use this to distinguish certain right-angled Artin groups and graph braid groups. Additionally, we provide an explicit example of a graph braid group that is relatively hyperbolic, but is not hyperbolic relative to braid groups of proper subgraphs. This answers another question of Genevois in the negative." @default.
- W4385781572 created "2023-08-13" @default.
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- W4385781572 date "2023-09-12" @default.
- W4385781572 modified "2023-09-27" @default.
- W4385781572 title "Graph of groups decompositions of graph braid groups" @default.
- W4385781572 doi "https://doi.org/10.1142/s0218196723500583" @default.
- W4385781572 hasPublicationYear "2023" @default.
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