Infinite Galois theory and profinite groups

• Main Author: Loh, Colin Jia Sheng
• Other Authors: Wu Guohua
• Format: Final Year Project
• Language: English
• Published: Nanyang Technological University 2022
• Subjects: Science::Mathematics
• Online Access: https://hdl.handle.net/10356/156819
• Institution: Nanyang Technological University

This paper aims to provide an exposition on infinite Galois extensions and profinite groups as well as some applications of Galois theory through six chapters. We will begin with an introduction to topological groups, inverse system and inverse limits of topological spaces and topological groups. Th...