Chapter 4: Conjugation, normal subgroups and simple groups | Essence of Group Theory
A VERY important concept of group theory, but often taught without any intuition, so much that it often confuses a lot of people when they first learned it (including me). Conjugation can be visualised easily with a (literal) change of perspective! This video also lays the foundation for quotient groups, which gives rise to some unexpected relationship with number theory. This channel is meant to showcase interesting but underrated maths (and physics) topics and approaches, either with completely novel topics, or a well-known topic with a novel approach. If the novel approach resonates better with you, great! But the videos have never meant to be pedagogical - in fact, please please PLEASE do NOT use YouTube videos to learn a subject. Other than commenting on the video, you are very welcome to fill in a Google form linked below, which helps me make better videos by catering for your math levels: https://forms.gle/QJ29hocF9uQAyZyH6 If you want to know more interesting Mathematics, stay tuned for the next video! SUBSCRIBE and see you in the next video! #mathemaniac #math #conjugation #grouptheory #simplegroups #normal #abstractalgebra
Chapter 5: Quotient groups | Essence of Group Theory
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Chapter 2: Orbit-Stabiliser Theorem | Essence of Group Theory
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