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ON TRACE FORMS OF GALOIS EXTENSIONS

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Let G be a finite group containing a non-abelian Sylow 2-subgroup. We elementarily show that every G-Galois field extension L=K has a hyperbolic trace form in the presence of root of unity.

Abstract

Let G be a finite group containing a non-abelian Sylow 2-subgroup. We elementarily show that every G-Galois field extension L=K has a hyperbolic trace form in the presence of root of unity.

참고문헌 (14)

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  8. D.-S. Kang, "Trace forms of Galois eld extensions in the presence of roots of unity", J. Reine angew. Math, 549, pp.79~89 (2002)
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