An Elementary Introduction to Group Theory
by M. E. Charkani
Publisher: AMS 2018
Number of pages: 47
Description:
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.
Download or read it online for free here:
Download link
(500KB, PDF)
Similar books
Smarandache Semigroupsby W. B. Vasantha Kandasamy - American Research Press
The Smarandache semigroups exhibit properties of both a group and a semigroup simultaneously. This book assumes the reader to have a good background on group theory; we give some recollection about groups and some of its properties for reference.
(10606 views)
Galois Groups and Fundamental Groupsby David Meredith - San Francisco State University
This course brings together two areas of mathematics that each concern symmetry -- symmetry in algebra, in the case of Galois theory; and symmetry in geometry, in the case of fundamental groups. Prerequisites are courses in algebra and analysis.
(11290 views)
Thin Groups and Superstrong Approximationby Emmanuel Breuillard, Hee Oh (eds.) - Cambridge University Press
This book focuses on recent developments concerning various quantitative aspects of thin groups. It provides a broad panorama of a very active field of mathematics at the boundary between geometry, dynamical systems, number theory, and combinatorics.
(6578 views)
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.
(12646 views)