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Some examples of groups (not)supporting regular positive cones Rivas, Cristóbal


A positive cone in a finitely generated group is called regular if it can be represented by a regular language over the group-generators. In this talk, I will discuss examples and non-examples of groups supporting regular positive cones. For instance we will see that every left-orderable polycyclic group admits a regular positive cone, but this is no longer true for the class solvable groups. I will also try to relate to presence of regular positive cone with the presence/absence of isolated orders.

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