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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
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
English
査読
有り
Submission Path
algebra/1