Action of the Grothendieck-Teichmüller group on torsion elements of full Teichmüller modular groups in genus zero

DOI10.5802/jtnb.813zbMath1278.14040OpenAlexW2966536869MaRDI QIDQ1940469

Benjamin Collas

Publication date: 7 March 2013

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2012__24_3_605_0/

zbMATH Keywords

mapping class groupGrothendieck-Teichmüller group

Mathematics Subject Classification ID

Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Families, moduli of curves (analytic) (14H15)

Related Items (4)

The automorphism groups of the profinite braid groups ⋮ Little survey on I/OM and its variants and their relation to (variants of) \(\widehat{GT}\) -- old \& new ⋮ Groupe fondamental des champs algébriques, inertie et action galoisienne ⋮ Irreducible components of special loci in moduli spaces of curves, Galois action in general genus

Cites Work

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• Euler characteristics of discrete groups and G-spaces
• Cohomology theory of aspherical groups and of small cancellation groups
• Galois Cohomology
• A cohomological interpretation of the Grothendieck-Teichmüller group. Appendix by C. Scheiderer
• Finite index subgroups in profinite groups.
• ACTION OF A GROTHENDIECK–TEICHMÜLLER GROUP ON TORSION ELEMENTS OF FULL TEICHMÜLLER MODULAR GROUPS OF GENUS ONE
• Harmonic and equianharmonic equations in the Grothendieck–Teichmüller group. III
• On Mapping-Class Groups and Teichmüller Spaces
• Limits of Galois Representations in Fundamental Groups Along Maximal Degeneration of Marked Curves, I
• Harmonic and equianharmonic equations in the Grothendieck-Teichmüller group
• FUNDAMENTAL GROUPS OF ALGEBRAIC STACKS
• Automorphisms of curves and their role in Grothendieck–Teichmüller theory
• The Nielsen realization problem

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