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math.GR2022★ 2 cited
The Automorphism Group of the Infinite-Rank Free Group is Coarsely Bounded
George Domat, Hannah Hoganson, Sanghoon Kwak
We prove that the full automorphism group and the outer automorphism group of the free group of countably infinite rank are coarsely bounded. That is, these groups admit no continu…
math.GT2022★ 4 cited
Coarse Geometry of Pure Mapping Class Groups of Infinite Graphs
George Domat, Hannah Hoganson, Sanghoon Kwak
We discuss the large-scale geometry of pure mapping class groups of locally finite, infinite graphs, motivated by recent work of Algom-Kfir--Bestvina and the work of Mann--Rafi on…