논문KCI 등재
Galois theory of Mathieu groups in characteristic two
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Abstract
Given a eld K and a nite group G, it is a very interest-ing problem, although very dicult, to nd al Galois extens ions over Kwhose Galois group is isomorphic to G. In this paper, we prepare a theo-retical background to study this type of problem when G is the Mathieugroup M 24 and K is a eld of characteristic two.
참고문헌 (7)
- "Ramication theoretic methods in algebraic geometry" (1959), Princeton UniversityPres
- "Mathieu group coverings in characteristic two"
- "Galois embedings for linear groups"
- "Some more Mathieu group coverings in characteristic two"
- "Smal Mathieu group coverings in characteristic two"
- "Generic Galois extensions and problems in field theory" (1982)
- "Mathieu group coverings and Golay codes", 39(2), pp.289~317 (2002)
관련 논문AI추천
A Galois extension with Galois group dihedral group or generalized quaternion group황윤성대한수학회 · 대한수학회논문집2005 · 제20권 제4호Galois groups of modules and inverse polynomial modules박상원, 정진선대한수학회 · 대한수학회보2007 · 제44권 제2호The non-existence of certain mod $p$ Galois representationsHyunsuk Moon대한수학회 · 대한수학회보2003 · 제40권 제3호On some finite $p$-groups김선옥대한수학회 · 대한수학회보2004 · 제41권 제1호On four-dimensional mod 2 Galois representations and a conjecture of Ash et al.문현석대한수학회 · 대한수학회보2007 · 제44권 제1호An action of a Galois group on a tensor product황윤성대한수학회 · 대한수학회논문집2005 · 제20권 제4호
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