ACTION OF A GROTHENDIECK–TEICHMÜLLER GROUP ON TORSION ELEMENTS OF FULL TEICHMÜLLER MODULAR GROUPS OF GENUS ONE

DOI10.1142/S1793042112500431zbMath1288.14015MaRDI QIDQ2880335

Benjamin Collas

Publication date: 13 April 2012

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

elliptic curvesmapping class groupsmoduli spaces of curves

Mathematics Subject Classification ID

Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Special algebraic curves and curves of low genus (14H45) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)]

Related Items (3)

Groupe fondamental des champs algébriques, inertie et action galoisienne ⋮ Action of the Grothendieck-Teichmüller group on torsion elements of full Teichmüller modular groups in genus zero ⋮ Irreducible components of special loci in moduli spaces of curves, Galois action in general genus

Cites Work

• A simple presentation for the mapping class group of an orientable surface
• Cohomology theory of aspherical groups and of small cancellation groups
• A cohomological interpretation of the Grothendieck-Teichmüller group. Appendix by C. Scheiderer
• A presentation of the mapping class groups
• On a subgroup of the Grothendieck-Teichmüller group acting on the tower of profinite Teichmüller modular groups.
• Harmonic and equianharmonic equations in the Grothendieck–Teichmüller group. III
• Automorphisms of curves and their role in Grothendieck–Teichmüller theory
• The Nielsen realization problem
• Presentations for the punctured mapping class groups in terms of Artin groups

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