soficity
Soficity is a concept in mathematics, specifically in the field of group theory, that generalizes the notion of amenability. A group is said to be sofic if it can be approximated by finite groups in a certain sense. This approximation is formalized through the notion of a sequence of finite approximations, which are essentially finite groups that capture the structure of the original group.
The term "sofic" is derived from the word "sof" (short for "sofie"), which is a term used
Soficity was introduced by Gaboriau and Monod in 2006 as a way to study groups that are
The study of sofic groups has led to the development of new techniques and tools in group