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Creators/Authors contains: "Pandikkadan, Adithyan"

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  1. ; ; ; ; ; ; ; ; ; ; et al (, International Journal of Algebra and Computation)
    Genevois recently classified which graph braid groups are word hyperbolic. In the 3-strand case, he asked whether all such word hyperbolic groups are actually free; this reduced to checking two infinite classes of graphs: sun and pulsar graphs. We prove that 3-strand braid groups of sun graphs are free. On the other hand, it was known to experts that 3-strand braid groups of most pulsar graphs contain surface subgroups. We provide a simple proof of this and prove an additional structure theorem for these groups. 
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    Free, publicly-accessible full text available May 1, 2026