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GALOIS MODULE STRUCTURE OF FIELD EXTENSIONS

Year 2007, Volume: 2 Issue: 2 , 100 - 105 , 01.12.2007

Patrik Lundström

https://izlik.org/JA45DK33XX

Abstract

We show, in two different ways, that every finite field extension has a basis with the property that the Galois group of the extension acts faithfully on it. We use this to prove a Galois correspondence theorem for general finite field extensions. We also show that if the characteristic of the base field is different from two and the field extension has a normal closure of odd degree, then the extension has a self-dual basis upon which the Galois group acts faithfully.

Keywords

Galois theory normal basis self-dual basis

Year 2007, Volume: 2 Issue: 2 , 100 - 105 , 01.12.2007

Patrik Lundström

https://izlik.org/JA45DK33XX

Abstract

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Details

Other ID JA29NB35BU
Authors

Patrik Lundström This is me

Publication Date December 1, 2007
IZ https://izlik.org/JA45DK33XX
Published in Issue Year 2007 Volume: 2 Issue: 2

Cite

APA Lundström, P. (2007). GALOIS MODULE STRUCTURE OF FIELD EXTENSIONS. International Electronic Journal of Algebra, 2(2), 100-105. https://izlik.org/JA45DK33XX
AMA 1.Lundström P. GALOIS MODULE STRUCTURE OF FIELD EXTENSIONS. IEJA. 2007;2(2):100-105. https://izlik.org/JA45DK33XX
Chicago Lundström, Patrik. 2007. “GALOIS MODULE STRUCTURE OF FIELD EXTENSIONS”. International Electronic Journal of Algebra 2 (2): 100-105. https://izlik.org/JA45DK33XX.
EndNote Lundström P (December 1, 2007) GALOIS MODULE STRUCTURE OF FIELD EXTENSIONS. International Electronic Journal of Algebra 2 2 100–105.
IEEE [1]P. Lundström, “GALOIS MODULE STRUCTURE OF FIELD EXTENSIONS”, IEJA, vol. 2, no. 2, pp. 100–105, Dec. 2007, [Online]. Available: https://izlik.org/JA45DK33XX
ISNAD Lundström, Patrik. “GALOIS MODULE STRUCTURE OF FIELD EXTENSIONS”. International Electronic Journal of Algebra 2/2 (December 1, 2007): 100-105. https://izlik.org/JA45DK33XX.
JAMA 1.Lundström P. GALOIS MODULE STRUCTURE OF FIELD EXTENSIONS. IEJA. 2007;2:100–105.
MLA Lundström, Patrik. “GALOIS MODULE STRUCTURE OF FIELD EXTENSIONS”. International Electronic Journal of Algebra, vol. 2, no. 2, Dec. 2007, pp. 100-5, https://izlik.org/JA45DK33XX.
Vancouver 1.Patrik Lundström. GALOIS MODULE STRUCTURE OF FIELD EXTENSIONS. IEJA [Internet]. 2007 Dec. 1;2(2):100-5. Available from: https://izlik.org/JA45DK33XX