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math.GR2024
Sofic actions on graphs
David Gao, Greg Patchell, Srivatsav Kunnawalkam Elayavalli
We develop a theory of soficity for actions on graphs and obtain new applications to the study of sofic groups. We establish various examples, stability and permanence properties o…
math.GR2024
On soficity for certain fundamental groups of graphs of groups
David Gao, Srivatsav Kunnawalkam Elayavalli, Mahan Mj
In this note we study a family of graphs of groups over arbitrary base graphs where all vertex groups are isomorphic to a fixed countable sofic group , and all edge groups …