Subgroup Structure of Fundamental Groups in Positive Characteristic

DOI10.1080/00927872.2012.676115zbMath1276.14044arXiv1106.6004OpenAlexW2160273431MaRDI QIDQ2850819

Manish Kumar, Lior Bary-Soroker

Publication date: 30 September 2013

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

Full work available at URL: https://arxiv.org/abs/1106.6004

zbMATH Keywords

fundamental groupsfree groupscoveringsdiamond theorems

Mathematics Subject Classification ID

Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Coverings of curves, fundamental group (14H30) Positive characteristic ground fields in algebraic geometry (14G17)

Related Items (2)

Embedding problems for open subgroups of the fundamental group ⋮ Erratum to: ``Normal subgroups of the algebraic fundamental group of affine curves in positive characteristic

Cites Work

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• Almost locally free fields
• Diamond theorem for a finitely generated free profinite group.
• Fundamental group in positive characteristic
• Normal subgroups of the algebraic fundamental group of affine curves in positive characteristic
• Hilbertian fields under separable algebraic extensions
• Coverings of the affine line in characteristic \(p>0\) and Abhyankar's conjecture
• Abhyankar's conjecture on Galois groups over curves
• Étale Galois covers of affine smooth curves. The geometric case of a conjecture of Shafarevich. On Abhyankar's conjecture
• Wildly ramified covers with large genus
• Local Galois theory in dimension two
• Embedding problems and open subgroups
• Free subgroups of free profinite groups
• Permanence criteria for semi-free profinite groups.

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