Small Mathieu group coverings in characteristic two

Abhyankar, Shreeram S.; Yie, Ikkwon

doi:10.1090/S0002-9939-1995-1246511-9

Small Mathieu group coverings in characteristic two
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Proc. Amer. Math. Soc. 123 (1995), 1319-1329 Request permission

Abstract:

Explicit equations are given for unramified coverings of the affine line in characteristic two whose Galois groups are the Mathieu groups of degrees 11 and 12 and the automorphism group of the Mathieu group of degree 12.

References

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Mémoire sur l’étude des fonctions de plusieurs quantités, sur la manière de les former, et sur les substitutions qui les laissent invariables

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List of transitive substitution groups of degree twelve

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