| ID | 34252 |
| FullText URL | |
| Author |
Nakamura, Hiroaki
|
| Abstract | 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. |
| Keywords | Grothendieck-Teichmüeller group
Belyi function
modular function
|
| Note | 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 |
| Published Date | 2006-08-24
|
| Publication Title |
Developments in Mathematics
|
| Publication Title Alternative | Progress in Galois Theory
|
| Volume | volume12
|
| Start Page | 123
|
| End Page | 133
|
| Content Type |
Journal Article
|
| language |
English
|
| Refereed |
True
|
| DOI | |
| Submission Path | algebra/1
|
