Article ID Journal Published Year Pages File Type
4658412 Topology and its Applications 2015 6 Pages PDF
Abstract

We obtain a simple obstruction to embedding groups into the analytic diffeomorphism groups of 1-manifolds. Using this, we classify all RAAGs which embed into Diff+ω(S1). We also prove that a branch group does not embed into Diff+ω(S1).

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
Preview
Some applications of Hölder's theorem in groups of analytic diffeomorphisms of 1-manifolds
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