Contents Online
Mathematical Research Letters
Volume 10 (2003)
Number 1
Geometric and arithmetic subgroups of the Grothendieck-Teichmüller group
Pages: 97 – 108
DOI: https://dx.doi.org/10.4310/MRL.2003.v10.n1.a10
Author
Abstract
We compare two geometrically constructed subgroups $\mathrm{I}\!\Gamma$ and $GTK$ of the Grothendieck-Teichmüller group $\widehat{GT}$ with an arithmetically constructed subgroup $GTA$ by deducing arithmetic properties from geometric ones. We show that the intersection of $\mathrm{I}\!\Gamma$ and $GTK$ is contained in a certain modification of $GTA$.
Published 1 January 2003