Some more Mathieu group coverings in characteristic two
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- by Shreeram S. Abhyankar and Ikkwon Yie PDF
- Proc. Amer. Math. Soc. 122 (1994), 1007-1014 Request permission
Abstract:
Explicit equations are given for unramified coverings of the affine line in characteristic two with Mathieu groups of degrees 23 and 24 as Galois groups.References
- Shreeram Abhyankar, Coverings of algebraic curves, Amer. J. Math. 79 (1957), 825–856. MR 94354, DOI 10.2307/2372438
- Shreeram S. Abhyankar, Galois theory on the line in nonzero characteristic, Bull. Amer. Math. Soc. (N.S.) 27 (1992), no. 1, 68–133. MR 1118002, DOI 10.1090/S0273-0979-1992-00270-7
- Shreeram S. Abhyankar, Fundamental group of the affine line in positive characteristic, Geometry and analysis (Bombay, 1992) Tata Inst. Fund. Res., Bombay, 1995, pp. 1–26. MR 1351500
- Shreeram S. Abhyankar, Mathieu group coverings in characteristic two, C. R. Acad. Sci. Paris Sér. I Math. 316 (1993), no. 3, 267–271 (English, with English and French summaries). MR 1205196, DOI 10.2307/2161167
- Shreeram S. Abhyankar and Ikkwon Yie, Small degree coverings of the affine line in characteristic two, Discrete Math. 133 (1994), no. 1-3, 1–23. MR 1298961, DOI 10.1016/0012-365X(94)90013-2 J.-P. Serre, e-mail to Abhyankar dated October 1991.
Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 122 (1994), 1007-1014
- MSC: Primary 12F10; Secondary 14E20, 14H30, 20D08
- DOI: https://doi.org/10.1090/S0002-9939-1994-1239794-1
- MathSciNet review: 1239794