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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.23 No.1

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ON TRACE FORMS OF GALOIS EXTENSIONS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2016, v.23 no.1, pp.53-59
https://doi.org/10.7468/jksmeb.2016.23.1.53
KANG, DONG SEUNG
KANG,, D. S. (2016). ON TRACE FORMS OF GALOIS EXTENSIONS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 23(1), 53-59, https://doi.org/10.7468/jksmeb.2016.23.1.53

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.

keywords
trace forms, quadratic forms, hyperbolic, field extension, Galois extension

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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