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Expansion in Finite Simple Groups of Lie Type
Terence Tao
€ 137.55
€ 122.69
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Description for Expansion in Finite Simple Groups of Lie Type
Series: Graduate Studies in Mathematics. Num Pages: 308 pages. BIC Classification: PBD; PBF; PBMW; PBV. Category: (P) Professional & Vocational. Dimension: 254 x 178. .
Expander graphs are an important tool in theoretical computer science, geometric group theory, probability, and number theory. Furthermore, the techniques used to rigorously establish the expansion property of a graph draw from such diverse areas of mathematics as representation theory, algebraic geometry, and arithmetic combinatorics. This text focuses on the latter topic in the important case of Cayley graphs on finite groups of Lie type, developing tools such as Kazhdan's property (T), quasirandomness, product estimates, escape from subvarieties, and the Balog-Szemeredi-Gowers lemma. Applications to the affine sieve of Bourgain, Gamburd, and Sarnak are also given. The material is largely self-contained, ... Read more
Expander graphs are an important tool in theoretical computer science, geometric group theory, probability, and number theory. Furthermore, the techniques used to rigorously establish the expansion property of a graph draw from such diverse areas of mathematics as representation theory, algebraic geometry, and arithmetic combinatorics. This text focuses on the latter topic in the important case of Cayley graphs on finite groups of Lie type, developing tools such as Kazhdan's property (T), quasirandomness, product estimates, escape from subvarieties, and the Balog-Szemeredi-Gowers lemma. Applications to the affine sieve of Bourgain, Gamburd, and Sarnak are also given. The material is largely self-contained, ... Read more
Product Details
Publication date
2015
Publisher
American Mathematical Society United States
Number of pages
308
Condition
New
Series
Graduate Studies in Mathematics
Number of Pages
303
Format
Hardback
Place of Publication
Providence, United States
ISBN
9781470421960
SKU
V9781470421960
Shipping Time
Usually ships in 5 to 9 working days
Ref
99-3
About Terence Tao
Terence Tao was the winner of the 2014 Breakthrough Prize in Mathematics. He is the James and Carol Collins Chair of mathematics at UCLA and the youngest person ever to be promoted to full professor at the age of 24. In 2006 Tao became the youngest ever mathematician to win the Fields Medal. His other honours include the George Polya ... Read more
Reviews for Expansion in Finite Simple Groups of Lie Type
Asymptotic group theory is a recently emerging branch of group theory, that can be described as the study of groups whose order is finite—but large! Tao’s book is certainly a valuable introduction to that exciting new subject." - Alain Valette, Jahresbericht der Deutschen Mathematiker-Vereinigung