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math.GR2017
Soficity and variations on Higman's group
Martin Kassabov, Vivian Kuperberg, Timothy Riley
A group is sofic when every finite subset can be well approximated in a finite symmetric group. No example of a non-sofic group is known. Higman's group, which is a circular amalga…
math.CO2017
Chip-firing on trees of loops
Sameer Kailasa, Vivian Kuperberg, Nicholas Wawrykow
Cools, Draisma, Payne, and Robeva proved that generic metric graphs that are "paths of loops" are Brill-Noether general. We show that Brill-Noether generality does not hold for "tr…