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Expansion in finite simple groups of Lie type / Terence Tao
(Graduate Studies in Mathematics ; v. 164)
出版者 | Providence, Rhode Island : American Mathematical Society |
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出版年 | [2015] |
大きさ | 1 online resource (xi, 303 pages) |
著者標目 | *Tao, Terence 1975- |
件 名 | LCSH:Finite simple groups LCSH:Lie groups FREE:Combinatorics -- Graph theory -- Random walks on graphs 全ての件名で検索 FREE:Number theory -- Sequences and sets -- Arithmetic combinatorics; higher degree uniformity 全ての件名で検索 FREE:Group theory and generalizations -- Representation theory of groups -- Representations of finite groups of Lie type 全ての件名で検索 FREE:Group theory and generalizations -- Abstract finite groups -- Simple groups: alternating groups and groups of Lie type 全ての件名で検索 FREE:Group theory and generalizations -- Linear algebraic groups and related topics -- Linear algebraic groups over finite fields 全ての件名で検索 |
内容注記 | 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 |
一般注記 | 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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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Graduate studies in mathematics | 9781470422653 |
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電子リソース |
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EB00103100 |
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