Mendeley出力
＜図書＞
Classifying spaces of sporadic groups
| 責任表示 | David J. Benson, Stephen D. Smith |
|---|---|
| シリーズ | Mathematical surveys and monographs ; v. 147 |
| データ種別 | 図書 |
| 出版情報 | Providence, R.I. : American Mathematical Society , c2008 |
| 本文言語 | 英語 |
| 大きさ | xvi, 289 p. : ill. ; 26 cm |
| 概要 | Intended for non-experts, this begins with background material on the relevant constructions from algebraic topology and on local geometries from group theory, reviewing aspects of group cohomology, s...mplicial sets and their equivalence with topological space, Bousfield-Kan completions and homotopy colimits, decompositions and p-subgroups, and 2-local geometries for simple groups. Working on each of 26 sporadic finite simple groups, this also constructs a 2-completed classifying space using a homotopy decomposition with classifying spaces of suitable 2-local subgroups, with decompositions for individual sporadic Mathieu, Janki, Higman-Sims, McLaughlin. Suzuki, Conway, Fischer, Harada-Norton, Thompson, Baby Monster, Fischer-Griess, Held, Rudvalis, O'Nan and Lyons groups, and details of proofs for individual groups. The result is remarkably accessible at explaining sporadic groups and also is successful at working with the cohomology of the other simple groups. Annotation ©2008 Book News, Inc., Portland, OR (booknews.com) 続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/6947221 |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
|---|---|---|---|---|---|---|---|---|---|---|
|
|
|
理系図3F 数理独自 | BENS/5/3 | 2008 |
|
023212007007495 |
|
書誌詳細
| 一般注記 | Includes bibliographical references (p. 275-279) and index |
|---|---|
| 著者標目 | *Benson, D. J. (David J.), 1955- Smith, Stephen D., 1948- |
| 件 名 | LCSH:Sporadic groups (Mathematics) LCSH:Classifying spaces |
| 分 類 | LCC:QA177 DC22:512/.2 |
| 書誌ID | 1001242760 |
| ISBN | 9780821844748 |
| NCID | BA84776463 |
| 巻冊次 | ISBN:9780821844748 |
| 登録日 | 2009.09.18 |
| 更新日 | 2017.02.18 |