An asymptotic local–global theorem on heights of some Kleinian group orbits

Key Points

• The aim is to establish a connection between local and global properties of heights associated with point orbits of specific groups.
• Proved an asymptotic local-global theorem
• Analyzed the heights of point orbits
• Focused on thin subgroups of Bianchi groups
• Demonstrated significant relationships between local heights and global properties
• Contributed to the understanding of the structure of Kleinian groups