Thin Groups and Superstrong Approximation
by Emmanuel Breuillard, Hee Oh (eds.)
Publisher: Cambridge University Press 2014
Number of pages: 362
This is a collection of surveys and primarily expository articles focusing on recent developments concerning various quantitative aspects of 'thin groups'. This book provides a broad panorama of a very active field of mathematics at the boundary between geometry, dynamical systems, number theory, and combinatorics.
Home page url
Download or read it online for free here:
(multiple PDF files)
by Frank W. K. Firk - Orange Grove Texts Plus
This is an introduction to group theory, with an emphasis on Lie groups and their application to the study of symmetries of the fundamental constituents of matter. The text was written for seniors and advanced juniors, majoring in the physical sciences.
by Pavel Etingof - Massachusetts Institute of Technology
These are notes of a mini-course of group theory for high school students. This course covers the most basic parts of group theory with many applications. The notes contain many exercises, which are necessary for understanding the main text.
by 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.
by Alexander Kirillov, Jr. - SUNY at Stony Brook
The book covers the basic contemporary theory of Lie groups and Lie algebras. This classic graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way. Written in an informal style.