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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.23 No.1

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ON TRACE FORMS OF GALOIS EXTENSIONS

ON TRACE FORMS OF GALOIS EXTENSIONS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2016, v.23 no.1, pp.53-59
https://doi.org/10.7468/jksmeb.2016.23.1.53
KANG, DONG SEUNG (DEPARTMENT OF MATHEMATICAL EDUCATION, DANKOOK UNIVERSITY)
KANG, DONG SEUNG. (2016). ON TRACE FORMS OF GALOIS EXTENSIONS. , 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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한국수학교육학회지시리즈B:순수및응용수학

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