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Geoghegan's conjecture on the properties of Thompson's group $F$
Geoghegan's conjecture. In 1979, Geoghegan conjectured that $F$ has all four properties: it is of type $\mathrm{F}_\infty$ , it has no non-abelian free subgroups, it is not amenable…
Conjectureopengeometric-group-theory homotopy-at-infinity thompson-groupsarXiv posted 2 days ago

Geoghegan's conjecture on the properties of Thompson's group FFF