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＜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)
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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