4 papers · 1 filter
Finitely generated positive cones in
Hang Lu Su
We construct, for every even , a positive cone on that is finitely generated as a semigroup, extending the previously known construction for $n = 2…
A toolbox for left-orders of low complexity
Hang Lu Su
This thesis explores how concepts of formal language theory can be used to study left-orderable groups. It analyses the languages formed by their positive cones and demonstrates ho…
Regular left-orders on groups
Yago Antolín, Cristóbal Rivas, Hang Lu Su
A regular left-order on finitely generated group is a total, left-multiplication invariant order on whose corresponding positive cone is the image of a regular language ove…
Formal language convexity in left-orderable groups
Hang Lu Su
We propose a criterion for preserving the regularity of a formal language representation when passing from groups to subgroups. We use this criterion to show that the regularity of…