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Expansion in finite simple groups of Lie type /
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Catalogue Information
Field name
Details
Dewey Class
512/.482
Title
Expansion in finite simple groups of Lie type / ([EBook] ) / Terence Tao.
Author
Tao, Terence , 1975-
Publication
Providence, Rhode Island : : American Mathematical Society, , [2015]
Physical Details
1 online resource (xi, 303 pages)
Series
Graduate studies in mathematics
; 164
ISBN
9781470422653 (online)
Contents note
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:
Mode of acces to digital resource
Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2015
Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://www.ams.org/gsm/164
See Also
https://doi.org/10.1090/gsm/164
Links to Related Works
Subject References:
Combinatorics -- Graph theory -- Random walks on graphs
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Finite simple groups
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Group theory and generalizations -- Abstract finite groups -- Simple groups: alternating groups and groups of Lie type
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Group theory and generalizations -- Linear algebraic groups and related topics -- Linear algebraic groups over finite fields
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Group theory and generalizations -- Representation theory of groups -- Representations of finite groups of Lie type
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Lie groups
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Number theory -- Sequences and sets -- Arithmetic combinatorics; higher degree uniformity
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Authors:
Tao, Terence 1975-
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Series:
Graduate studies in mathematics
.
Classification:
512/.482
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