GALOIS THEORY OF MATHIEU GROUPS IN CHARACTERISTIC TWO

Title & Authors
GALOIS THEORY OF MATHIEU GROUPS IN CHARACTERISTIC TWO
Yie, Ik-Kwon;

Abstract
Given a field K and a finite group G, it is a very interesting problem, although very difficult, to find all Galois extensions over K whose Galois group is isomorphic to G. In this paper, we prepare a theoretical background to study this type of problem when G is the Mathieu group $\small{M_{24}}$ and K is a field of characteristic two.
Keywords
Mathieu groups;generic extension;linearization;
Language
English
Cited by
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