Towards the generalized purely wild inertia conjecture for product of alternating and symmetric groups

DOI10.1016/j.jpaa.2022.107299OpenAlexW4311003358WikidataQ122863659 ScholiaQ122863659MaRDI QIDQ2689177

Soumyadip Das

Publication date: 9 March 2023

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.15495

zbMATH Keywords

ramificationformal patchinginertia conjectureGalois covers of curves

Mathematics Subject Classification ID

Coverings of curves, fundamental group (14H30) Ramification and extension theory (11S15) Galois theory and commutative ring extensions (13B05) Positive characteristic ground fields in algebraic geometry (14G17) Formal neighborhoods in algebraic geometry (14B20)

Cites Work

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• Patching and thickening problems
• Coverings of the affine line in characteristic \(p>0\) and Abhyankar's conjecture
• Abhyankar's conjecture on Galois groups over curves
• Rigidity, reduction, and ramification
• Conductors of wildly ramified covers. I
• Killing wild ramification
• On the inertia conjecture for alternating group covers
• On the compositum of wildly ramified extensions
• Resolution of singularities and modular Galois theory
• Coverings of Algebraic Curves
• Formal Patching and Adding Branch Points
• Abhyankar’s conjectures in Galois theory: Current status and future directions
• PRIMITIVE PERMUTATION GROUPS CONTAINING A CYCLE

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