On a subgroup of the Grothendieck-Teichmüller group acting on the tower of profinite Teichmüller modular groups.

DOI10.1007/s002220000074zbMath1077.14030OpenAlexW2053462488MaRDI QIDQ1581816

Leila Schneps, Hiroaki Nakamura

Publication date: 20 November 2000

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002220000074

Mathematics Subject Classification ID

Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32)

Related Items (13)

ACTION OF A GROTHENDIECK–TEICHMÜLLER GROUP ON TORSION ELEMENTS OF FULL TEICHMÜLLER MODULAR GROUPS OF GENUS ONE ⋮ Little survey on I/OM and its variants and their relation to (variants of) \(\widehat{GT}\) -- old \& new ⋮ A new Gal(ℚ¯/ℚ)-invariant of dessins d'enfants ⋮ Belyi-extending maps and the Galois action on dessins d'enfants ⋮ Johnson homomorphisms ⋮ Finite tripod variants of I/OM. On Ihara's question/Oda-Matsumoto conjecture ⋮ On the centralizer of the image of the universal outer monodromy representation of the moduli stack of pointed hyperbolic curves ⋮ Homotopical algebra and higher structures. Abstracts from the workshop held September 19--25, 2021 (hybrid meeting) ⋮ Harmonic and equianharmonic equations in the Grothendieck–Teichmüller group. III ⋮ Teichmüller curves, Galois actions and $ \widehat {GT} $‐relations ⋮ Characters of the Grothendieck-Teichmüller group through rigidity of the Burau representation ⋮ Irreducible components of special loci in moduli spaces of curves, Galois action in general genus ⋮ Kontsevich-Witten model from \(2+1\) gravity: new exact combinatorial solution

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