Logo

Groups Around Us by Pavel Etingof

Groups Around Us
by

Publisher: Massachusetts Institute of Technology
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.

Home page url

Download or read it online for free here:
Download link
(250KB, PDF)

Similar books

Book cover: Algebraic Groups, Lie Groups, and their Arithmetic SubgroupsAlgebraic Groups, Lie Groups, and their Arithmetic Subgroups
by
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.
(11021 views)
Book cover: Galois Groups and Fundamental GroupsGalois Groups and Fundamental Groups
by - Cambridge University Press
This book contains eight articles which focus on presenting recently developed new aspects of the theory of Galois groups and fundamental groups, avoiding classical aspects which have already been developed at length in the standard literature.
(12161 views)
Book cover: Finite Rank Torsion Free Modules Over Dedekind DomainsFinite Rank Torsion Free Modules Over Dedekind Domains
by - University of Hawaii
Contents: Modules Over Commutative Rings; Fundamentals; Rank-one Modules and Types; Quasi-Homomorphisms; The t-Socle and t-Radical; Butler Modules; Splitting Rings and Splitting Fields; Torsion Free Rings; Quotient Divisible Modules; etc.
(8259 views)
Book cover: Lie groups and Lie algebrasLie groups and Lie algebras
by - UC Berkeley
From the table of contents: Tangent Lie algebras to Lie groups; Simply Connected Lie Groups; Hopf Algebras; PBW Theorem and Deformations; Lie algebra cohomology; Engel's Theorem and Lie's Theorem; Cartan Criterion, Whitehead and Weyl Theorems; etc.
(10710 views)