A pro-\(l\) version of the congruence subgroup problem for mapping class groups of genus one

DOI10.1016/J.JALGEBRA.2018.10.036zbMath1454.14081OpenAlexW2900750706WikidataQ128883524 ScholiaQ128883524MaRDI QIDQ1632450

Yu Iijima, Yuichiro Hoshi

Publication date: 14 December 2018

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2018.10.036

zbMATH Keywords

mapping class groupmodular curvecongruence subgroup problempro-\(l\) outer Galois actionrelative pro-\(l\) completion

Mathematics Subject Classification ID

Geometric group theory (20F65) Families, moduli of curves (algebraic) (14H10) Coverings of curves, fundamental group (14H30) Arithmetic aspects of modular and Shimura varieties (11G18)

Related Items (5)

Galois-theoretic characterization of geometric isomorphism classes of quasi-monodromically full hyperbolic curves with small numerical invariants ⋮ On topological and combinatorial structures of pointed stable curves over algebraically closed fields of positive characteristic ⋮ Notes on hyperelliptic mapping class groups ⋮ Congruence topologies on the mapping class group ⋮ The pro-l outer Galois actions associated to modular curves of prime power level

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