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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.
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참고문헌 (14)
참고문헌 신청
E. Bayer-Fluckiger / 1994 / Galois cohomology and the trace form / Jahresber. Deutch. Math.-Verein 96(2):35~55
E. Bayer-Fluckiger / 1990 / Forms in odd degree extensions and self-dual normal bases / Amer. J. Math 112(3):359~373
E. Bayer-Fluckiger / 1994 / Torsions quadratiques et bases normales autoduales / Amer. J. Math 116:1~64
C. Drees / 1997 / On the computation of the trace form of some Galois extensions / J. Algebra 192:209~234
C. Hermite / 1856 / Extrait d'une lette de Mr. ch. Hermite de paris µa Mr. Borchardt de Berlin sur le nombre des racines d'une equation algebrique comprises entre des limites donnees / J. Reine angew. Math 52:39~51
E. Bayer-Fluckiger / 1990 / Forms in odd degree extensions and self-dual normal bases / Amer. J. Math 112(3):359~373
E. Bayer-Fluckiger / 1994 / Torsions quadratiques et bases normales autoduales / Amer. J. Math 116:1~64
C. Drees / 1997 / On the computation of the trace form of some Galois extensions / J. Algebra 192:209~234
C. Hermite / 1856 / Extrait d'une lette de Mr. ch. Hermite de paris µa Mr. Borchardt de Berlin sur le nombre des racines d'une equation algebrique comprises entre des limites donnees / J. Reine angew. Math 52:39~51
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