Lecture 11: Basic Group Theory

MIT 18.200 Principles of Discrete Applied Mathematics, Spring 2024 Instructor: Ankur Moitra View the complete course: https://ocw.mit.edu/courses/18-200-principles-of-discrete-applied-mathematics-spring-2024 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61p2fXeXjNCrfNHFwyW-bl0 Definition of a group; examples of groups: addition mod n, multiplication mod n.Definitions of subgroup, definition of cosets, statement and proof of Lagrange’s theorem. Finally, we apply Lagrange’s theorem to prove Fermat’s little Theorem. License: Creative Commons BY-NC-SA More information at https://ocw.mit.edu/terms More courses at https://ocw.mit.edu Support OCW at http://ow.ly/a1If50zVRlQ We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.