Equations in characteristic 3 with Mathieu groups as their Galois groups

DOI10.1007/BF01264934zbMath0847.12002OpenAlexW1967889775MaRDI QIDQ1900089

Ikkwon Yie

Publication date: 14 October 1996

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01264934

zbMATH Keywords

Galois groupMathieu groupuniversal covering groupsplitting fieldAbhyankar conjectureaffine line over a field of prime characteristic

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Polynomials in general fields (irreducibility, etc.) (12E05) Extensions, wreath products, and other compositions of groups (20E22) Inverse Galois theory (12F12) Coverings of curves, fundamental group (14H30) Simple groups: alternating groups and groups of Lie type (20D06)

Cites Work

• Local uniformization on algebraic surfaces over ground fields of characteristic \(p\neq 0\)
• Alternating group coverings of the affine line for characteristic greater than two
• Coverings of the affine line in characteristic \(p>0\) and Abhyankar's conjecture
• Abhyankar's conjecture on Galois groups over curves
• Small degree coverings of the affine line in characteristic two
• Coverings of Algebraic Curves
• Galois theory on the line in nonzero characteristic
• Some More Mathieu Group Coverings in Characteristic Two
• Small Mathieu Group Coverings in Characteristic Two
• The Schur Multipliers of the Mathieu Groups
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