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Some more Mathieu group coverings in characteristic two


Authors: Shreeram S. Abhyankar and Ikkwon Yie
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
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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 [Enhancements On Off] (What's this?)

  • [1] S. S. Abhyankar, Coverings of algebraic curves, Amer. J. Math. 79 (1957), 825-856. MR 0094354 (20:872)
  • [2] -, Galois theory on the line in nonzero characteristic, Bull. Amer. Math. Soc. (N.S.) 27 (1992), 68-133. MR 1118002 (94a:12004)
  • [3] -, Fundamental group of the affine line in positive characteristic, Proceedings of the 1992 Bombay International Colloquium on Geometry and Analysis held at the Tata Institute of Fundamental Research (to appear). MR 1351500 (97b:14034)
  • [4] -, Mathieu group coverings in characteristic two, C. R. Acad. Sci. Paris Sér. I Math. 316 (1993), 267-271. MR 1205196 (94g:14013)
  • [5] S. S. Abhyankar and I. Yie, Small degree coverings of the affine line in characteristic two, Discrete Math. (to appear). MR 1298961 (95h:14017)
  • [6] J.-P. Serre, e-mail to Abhyankar dated October 1991.

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DOI: https://doi.org/10.1090/S0002-9939-1994-1239794-1
Article copyright: © Copyright 1994 American Mathematical Society

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