Geodesic
Quotients by countable normal subgroups are hyperfinite
Joshua Frisch1 ; Forte Shinko1 orcid
1California Institute of Technology, Pasadena, USA
Groups, geometry, and dynamics, Tome 17 (2023) no. 3, pp. 985-992

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DOI

We show that for any Polish group G and any countable normal subgroup Γ◃G, the coset equivalence relation G/Γ is a hyperfinite Borel equivalence relation. In particular, the outer automorphism group of any countable group is hyperfinite.
DOI : 10.4171/ggd/719
Classification : 03-XX, 22-XX
Mots-clés : Descriptive set theory, Borel equivalence relation, Polish group, hyperfinite

Joshua Frisch  1   ; Forte Shinko  1

1 California Institute of Technology, Pasadena, USA 
Joshua Frisch; Forte Shinko. Quotients by countable normal subgroups are hyperfinite. Groups, geometry, and dynamics, Tome 17 (2023) no. 3, pp. 985-992. doi: 10.4171/ggd/719
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     title = {Quotients by countable normal subgroups are hyperfinite},
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     number = {3},
     doi = {10.4171/ggd/719},
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