Group theory, abstraction, and the 196,883-dimensional monster

简介：

An introduction to group theory, covering the basics of what a group is, the concept of an abstract group, and the classification of groups. The video then focuses on the Monster group, discussing its size and significance in the context of finite simple groups. The narrative includes a brief mention of the classification of quasithin groups and the extensive literature surrounding the CFSG theorem. The video also acknowledges contributions from supporters and provides resources for further learning. 0:00 - The size of the monster 0:50 - What is a group? 7:06 - What is an abstract group? 13:27 - Classifying groups 18:31 - About the monster