4 papers
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…
Transverse properties of parabolic subgroups of Garside groups
Yago Antolín, Luis Paris
Let be a Garside group endowed with the generating set of non-trivial simple elements, and let be a parabolic subgroup of . We determine a transversal …
The space of relative orders and a generalization of Morris indicability theorem
Yago Antolín, Cristóbal Rivas
We introduce the space of relative orders on a group and show that it is compact whenever the group is finitely generated. We use this to show that if is a finitely generated g…
Left relatively convex subgroups
Yago Antolín, Warren Dicks, Zoran Sunic
Let G be a group and H be a subgroup of G. We say that H is left relatively convex in G if the left G-set G/H has at least one G-invariant order; when G is left orderable, this hol…