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The dihedral Lie algebras and Galois symmetries of π1(1)(ℙ1−({0,∞}∪μN)
A. B. Goncharov
Source: Duke Math. J. Volume 110, Number 3
(2001), 397-487.
Abstract
We describe the image of the absolute Galois group acting on the pro-$l$ completion of the fundamental group of the $\mathbb {G}_m$ minus $N$th roots of unity. We relate the structure of the image with geometry and topology of modular varieties for the congruence subgroups $\Gamma_1(m;N)$ of ${\rm GL}_m(\mathbb {Z})$ for $m=1,2,3\ldots$.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1087574978
Mathematical Reviews number (MathSciNet): MR1869113
Digital Object Identifier: doi:10.1215/S0012-7094-01-11031-4
Zentralblatt MATH identifier: 01820861
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