
| ID | 34252 |
| フルテキストURL | |
| 著者 |
Nakamura, Hiroaki
Okayama University
|
| 抄録 | We present two new formulas concerning behaviors of the standard parameters of the Grothendieck-Teichmüller group GT , and discuss their relationships with classical mathematics. First, considering a non-Galois etale cover of P1 {0 1 infinity} of degree 4, we present a newtype equation satisfied by the Galois image in GT . Second, a certain equation in GL 2 (Z||Z2 ) satisfied by every element of GT is derived as an application of (profinite) free differential calculus. |
| キーワード | Grothendieck-Teichmüeller group
Belyi function
modular function
|
| 備考 | in "Progress in Galois Theory"
(Proceedings in honor of J.Thompson's 70th birthday) Developments in Mathematics series, Vol. 12 (2005), 123--133, Kluwer Acad. Publ |
| 発行日 | 2006-08-24
|
| 出版物タイトル |
Developments in Mathematics
|
| 出版物タイトル(別表記) | Progress in Galois Theory
|
| 巻 | 12巻
|
| 開始ページ | 123
|
| 終了ページ | 133
|
| 資料タイプ |
学術雑誌論文
|
| 言語 |
英語
|
| 査読 |
有り
|
| DOI | |
| Submission Path | algebra/1
|