Subgroups and diversity of left-orderable small cancellation groups

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• Markus Steenbock (Vienna)
• Friday 29 November 2024, 13:45-14:45
• MR13.

If you have a question about this talk, please contact Macarena Arenas.

We discuss left-orderability of groups and its relation to other group properties, such as the unique product property. We pass on to left-orders on the free group and discuss combination theorems that help construct negatively curved groups that are left-orderable. We will argue that there are continuum many left-orderable small cancellation groups up to quasi-isometry that are not locally indicable. Further, every finitely generated group is a quotient of a left-orderable small cancellation group by a finitely generated subgroup (Rips construction).

This talk is part of the Geometric Group Theory (GGT) Seminar series.

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