Description

Book Synopsis


Trade Review
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

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

Expansion in Finite Simple Groups of Lie Type

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A Hardback by Terence Tao

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    View other formats and editions of Expansion in Finite Simple Groups of Lie Type by Terence Tao

    Publisher: MP-AMM American Mathematical
    Publication Date: 6/30/2015 12:00:00 AM
    ISBN13: 9781470421960, 978-1470421960
    ISBN10: 1470421968
    Also in:
    Algebraic geometry Discrete mathematics

    Description

    Book Synopsis


    Trade Review
    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

    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

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