We solve the subgroup conjugacy problem for parabolic subgroups and Garside subgroups of a Garside group, and we present deterministic algorithms. This solution may be improved by using minimal simple elements. For standard parabolic subgroups of Garside groups we provide effective algorithms for computing minimal simple elements.
Bibliographical noteFunding Information:
This research was partially supported by the Emmy Noether Research Institute for Mathematics and the Minerva Foundation.
- Braid group
- Garside group
- Garside subgroup
- Minimal simple elements
- Parabolic subgroup
- Subgroup conjugacy problem