Cayley's Theorem and Lagrange's Theorem: An Introduction to Group Theory
Автор: Eric Yu
Загружено: 2025-09-01
Просмотров: 4394
Описание:
What are groups, and why do we study them? In this video, we explore group theory from the ground up with the goal of proving two major theorems: Cayley’s theorem and Lagrange’s theorem, both of which provide fundamental insights into the structure of all groups. I hope to convince you that group theory is interesting and beautiful while also giving you a concrete sense of the techniques that group theorists use to reason about groups.
Formal writeup of results proven in this video:
https://drive.google.com/file/d/1VH65...
Music by Asher Fulero
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