Right-angled Artin subgroups of the $C^{\infty}$ diffeomorphism group of the real line

Hyungryul Baik; Sang-hyun Kim; Thomas Koberda

doi:10.1007/s11856-016-1307-8

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arXiv · 1404.5559

Right-angled Artin subgroups of the $C^{\infty}$ diffeomorphism group of the real line

Hyungryul Baik·Sang-hyun Kim·Thomas Koberda

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Abstract

We prove that every right-angled Artin group embeds into the $C^{\infty}$ diffeomorphism group of the real line. As a corollary, we show every limit group, and more generally every countable residually RAAG group, embeds into the $C^{\infty}$ diffeomorphism group of the real line.

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BibTeX RIS

Hyungryul Baik, Sang-hyun Kim, Thomas Koberda. 2015-02-16. Right-angled Artin subgroups of the $C^{\infty}$ diffeomorphism group of the real line. https://doi.org/10.1007/s11856-016-1307-8

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