Affiliation:
1. School of Mathematics and Big Data Foshan University Foshan Guangdong People's Republic of China
Abstract
AbstractWe prove a factorization theorem for Fuchsian groups similar to those proved by Agol and Liu for 3‐manifold groups. As an application, we build Makanin–Razborov diagrams, which parameterize the collection of all discrete representations from an arbitrary but fixed finitely generated group to . We define a new class of groups called ‐discrete limit groups and then use the factorization theorem to obtain useful information about this class of groups.
Funder
National Natural Science Foundation of China