An Elementary Introduction to Group Theory
by M. E. Charkani
Publisher: AMS 2018
Number of pages: 47
The theory of groups is a branch of mathematics in which we study the concept of binaryoperations. Group theory has many applications in physics and chemistry, and is potentially applicable in any situation characterized by symmetry. The classification of finite simple groups is a major mathematical achievement of the 20th century.
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by Patrick Dehornoy, at al.
This book is an account of several quite different approaches to Artin's braid groups, involving self-distributive algebra, uniform finite trees, combinatorial group theory, mapping class groups, laminations, and hyperbolic geometry.
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The following notes are the basis for a graduate course. They are oriented towards the application of group theory to particle physics, although some of it can be used for general quantum mechanics. They have no pretense of mathematical rigor.