Groups Around Us
by Pavel Etingof
Publisher: Massachusetts Institute of Technology 2018
Number of pages: 25
Description:
These are notes of a mini-course of group theory for high school students that I gave in the Summer of 2009. This mini-course covers the most basic parts of group theory with many examples and applications. The notes contain many exercises, which are necessary for understanding the main text.
Download or read it online for free here:
Download link
(250KB, PDF)
Similar books
Algebraic Groups, Lie Groups, and their Arithmetic Subgroupsby J. S. Milne
This work is a modern exposition of the theory of algebraic group schemes, Lie groups, and their arithmetic subgroups. Algebraic groups are groups defined by polynomials. Those in this book can all be realized as groups of matrices.
(12571 views)
Groups and Semigroups: Connections and Contrastsby John Meakin - University of Nebraska-Lincoln
In the present paper, I will discuss some of these connections between group theory and semigroup theory, and I will also discuss some rather surprising contrasts between the theories. I will focus primarily on the theory of inverse semigroups.
(9517 views)
Group Theoryby J. S. Milne
Contents: Basic Definitions and Results; Free Groups and Presentations; Coxeter Groups; Automorphisms and Extensions; Groups Acting on Sets; The Sylow Theorems; Subnormal Series; Solvable and Nilpotent Groups; Representations of Finite Groups.
(13976 views)
Congruence Lattices of Finite Algebrasby William DeMeo - arXiv
We review a number of methods for finding a finite algebra with a given congruence lattice, including searching for intervals in subgroup lattices. We also consider methods for proving that algebras with a given congruence lattice exist...
(9469 views)