Online Archive of University of Virginia Scholarship
Sofic Approximation of Groups716 views
Author
Ma, Yichen, Department of Mathematics, University of Virginia
Advisors
Hayes, Benjamin, AS-Mathematics, University of Virginia
Abstract
In this paper, we discuss sofic approximation of groups. We first discuss two equivalent definitions of a group to be sofic, in which we will introduce ultrafilter and its applications. We also discuss specific examples of sofic groups and some interesting properties of them. Section two to five form a survey of previous results. In section six, we prove a generalization of a special case of Elek-Szabo Uniqueness.
Degree
BA (Bachelor of Arts)
Keywords
soficity; geometric group theory
Language
English
Rights
All rights reserved (no additional license for public reuse)
Ma, Yichen. Sofic Approximation of Groups. University of Virginia, Department of Mathematics, BA (Bachelor of Arts), 2019-04-29, https://doi.org/10.18130/v3-vcz8-w062.
