Acta Medica Okayama122006Some classical views on the parameters of the Grothendieck-Teichmüeller group123133ENHiroakiNakamura<p>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 P<sub>1</sub> {0 1 infinity} of degree 4, we present a newtype equation satisfied by the Galois image in GT . Second, a certain equation in GL <sub>2</sub> (Z||Z<sub>2</sub> ) satisfied by every element of GT is derived as an application of (profinite) free differential calculus.</p>
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