Thin Groups and Superstrong Approximation
by Emmanuel Breuillard, Hee Oh (eds.)
Publisher: Cambridge University Press 2014
ISBN/ASIN: 1107036852
ISBN-13: 9781107036857
Number of pages: 362
Description:
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.
Download or read it online for free here:
Download link
(multiple PDF files)
Similar books
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.
(6191 views)
Lie groups and Lie algebrasby N. Reshetikhin, V. Serganova, R. Borcherds - 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.
(7496 views)
Group theory for Maths, Physics and Chemistryby Arjeh Cohen, Rosane Ushirobira, Jan Draisma
Symmetry plays an important role in chemistry and physics. Group captures the symmetry in a very efficient manner. We focus on abstract group theory, deal with representations of groups, and deal with some applications in chemistry and physics.
(9443 views)
Introduction to Arithmetic Groupsby Dave Witte Morris - arXiv
This revised version of a book in progress on arithmetic groups and locally symmetric spaces contains several additional chapters, including the proofs of three major theorems of G. A. Margulis (superrigidity, arithmeticity, and normal subgroups).
(6309 views)