2 papers
math.GR2026
The isomorphism problem for finitely generated bi-orderable groups
Filippo Calderoni, Adam Clay
We analyze the classification problem for finitely generated orderable groups from the viewpoint of descriptive set theory. We analyze the standard Borel space of finitely generate…
math.GR2024
Condensation and left-orderable groups
Filippo Calderoni, Adam Clay
We discuss condensed left-orderings and develop new techniques to show that the conjugacy relation on the space of left-orderings is not smooth. These techniques apply to the solva…