Description
Book SynopsisTrade ReviewAsymptotic group theory is a recently emerging branch of group theory, that can be described as the study of groups whose order is finite—but large! Tao’s book is certainly a valuable introduction to that exciting new subject." - Alain Valette,
Jahresbericht der Deutschen Mathematiker-VereinigungTable of Contents
- Expansion in Cayley graphs
- Expander graphs: Basic theory
- Expansion in Cayley graphs, and Kazhdan's property (T)
- Quasirandom groups
- The Balog-Szemeredi-Gowers lemma, and the Bourgain-Gamburd expansion machine
- Product theorems, pivot arguments, and the Larsen-Pink non-concentration inequality
- Non-concentration in subgroups
- Sieving and expanders
- Related articles
- Cayley graphs the algebra of groups
- The Lang-Weil bound
- The spectral theorem and its converses for unbounded self-adjoint operators
- Notes on Lie algebras
- Notes on groups of Lie type
- Bibliography
- Index
