Item Details

Sofic Approximation of Groups

Ma, Yichen
Format
Thesis/Dissertation; Online
Author
Ma, Yichen
Advisor
Hayes, Benjamin
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.
Language
English
Published
University of Virginia, Department of Mathematics, BA (Bachelor of Arts), 2019
Published Date
2019-04-29
Degree
BA (Bachelor of Arts)
Collection
Libra ETD Repository
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