Expansion in Finite Simple Groups of Lie Type

Author:   Terence Tao
Publisher:   American Mathematical Society
Volume:   164
ISBN:  

9781470421960


Pages:   303
Publication Date:   30 June 2015
Format:   Hardback
Availability:   In Print   Availability explained
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Expansion in Finite Simple Groups of Lie Type


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Author:   Terence Tao
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   164
Weight:   0.712kg
ISBN:  

9781470421960


ISBN 10:   1470421968
Pages:   303
Publication Date:   30 June 2015
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Expansion in Cayley graphs Expander graphs: Basic theory Expansion in Cayley graphs, and Kazhdan's property (T) Quasirandom groups The Balog-Szemeredi-Gowers lemma, and the Bourgain-Gamburd expansion machine Product theorems, pivot arguments, and the Larsen-Pink non-concentration inequality Non-concentration in subgroups Sieving and expanders Related articles Cayley graphs the algebra of groups The Lang-Weil bound The spectral theorem and its converses for unbounded self-adjoint operators Notes on Lie algebras Notes on groups of Lie type Bibliography Index

Reviews

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, Jahresber Dtsch Math-Ver


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, Jahresber Dtsch Math-Ver


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


Author Information

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 Prize from the Society for Industrial and Applied Mathematics (2010), the Alan T Waterman Award from the National Science Foundation (2008), the SASTRA Ramanujan Prize (2006), the Clay Research Award from the Clay Mathematical Institute (2003), the Bocher Memorial Prize from the American Mathematical Society (2002) and the Salem Prize (2000).

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