Expansion in finite simple groups of Lie type /
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Author / Creator: | Tao, Terence. |
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Imprint: | [S.l.] : [s.n.] |
Description: | 1 online resource. |
Language: | Undetermined |
Series: | Graduate studies in mathematics ; volume 164 Graduate studies in mathematics ; v. 164. |
Subject: | Finite simple groups. Lie groups. Finite simple groups. Lie groups. |
Format: | E-Resource Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11615814 |
Table of Contents:
- 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 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