<E-Book>
Expansion in finite simple groups of Lie type / Terence Tao
(Graduate Studies in Mathematics ; v. 164)
Publisher | Providence, Rhode Island : American Mathematical Society |
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Year | [2015] |
Size | 1 online resource (xi, 303 pages) |
Authors | *Tao, Terence 1975- |
Subjects | LCSH:Finite simple groups LCSH:Lie groups FREE:Combinatorics -- Graph theory -- Random walks on graphs All Subject Search FREE:Number theory -- Sequences and sets -- Arithmetic combinatorics; higher degree uniformity All Subject Search FREE:Group theory and generalizations -- Representation theory of groups -- Representations of finite groups of Lie type All Subject Search FREE:Group theory and generalizations -- Abstract finite groups -- Simple groups: alternating groups and groups of Lie type All Subject Search FREE:Group theory and generalizations -- Linear algebraic groups and related topics -- Linear algebraic groups over finite fields All Subject Search |
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-Szemer�edi-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 |
Notes | Includes bibliographical references (pages 293-300) and index Access is restricted to licensed institutions Electronic reproduction Providence, Rhode Island American Mathematical Society 2015 Mode of access : World Wide Web Description based on print version record HTTP:URL=http://www.ams.org/gsm/164 Information=Contents HTTP:URL=https://doi.org/10.1090/gsm/164 Information=Contents |
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E-Book | Location | Media type | Volume | Call No. | Status | Reserve | Comments | ISBN | Printed | Restriction | Designated Book | Barcode No. |
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E-Book | オンライン | 電子ブック |
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Graduate studies in mathematics | 9781470422653 |
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電子リソース |
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EB00103100 |
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