AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Expansion in Finite Simple Groups of Lie Type
About this Title
Terence Tao, University of California, Los Angeles, CA
Publication: Graduate Studies in Mathematics
Publication Year:
2015; Volume 164
ISBNs: 978-1-4704-2196-0 (print); 978-1-4704-2265-3 (online)
DOI: https://doi.org/10.1090/gsm/164
MathSciNet review: MR3309986
MSC: Primary 20D06; Secondary 05C25, 05C81, 11B30, 17B20, 20F65, 20G30, 22D10
Table of Contents
Download chapters as PDF
Front/Back Matter
Part 1. Expansion in Cayley graphs
- Chapter 1. Expander graphs: Basic theory
- Chapter 2. Expansion in Cayley graphs, and Kazhdan’s property (T)
- Chapter 3. Quasirandom groups
- Chapter 4. The Balog-Szemerédi-Gowers lemma, and the Bourgain-Gamburd expansion machine
- Chapter 5. Product theorems, pivot arguments, and the Larsen-Pink non-concentration inequality
- Chapter 6. Non-concentration in subgroups
- Chapter 7. Sieving and expanders
Part 2. Related articles
- Chapter 8. Cayley graphs the algebra of groups
- Chapter 9. The Lang-Weil bound
- Chapter 10. The spectral theorem and its converses for unbounded self-adjoint operators
- Chapter 11. Notes on Lie algebras
- Chapter 12. Notes on groups of Lie type