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SPN based RGB image encryption over Gaussian integers. [PDF]
HeliyonSajjad M +4 more
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The Fundamental Theorem of Galois Theory
Galois Theory and Its Algebraic Background, 2021 (i) The function : intermediate fields of E=k ! subgroups of Gal(E=k); defined by : F 7! Gal(E=F ), is an order-reversing bijection with inverse Æ : subgroups of Gal(E=k) ! intermediate fields of (E=k); given by Æ : H 7! E .
D. J. H. Garling
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Another Proof of the Fundamental Theorem of Galois Theory
The American Mathematical Monthly, 1968 (1968). Another Proof of the Fundamental Theorem of Galois Theory. The American Mathematical Monthly: Vol. 75, No. 7, pp. 720-724.
Frank DeMeyer
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THE FUNDAMENTAL THEOREM OF GALOIS THEORY
Mathematics of the USSR-Sbornik, 1989 See the review in Zbl 0653.18002.
G Z Dzhanelidze
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The Fundamental Theorem of Galois Theory
, 1990 Given a Galois extension E / F, the fundamental theorem will show a strong connection between the subgroups of Ga1(E / F) and the intermediate fields between F and E.
Joseph Rotman
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The Fundamental Theorem of the Galois Theory for Quasi-Fields
The Annals of Mathematics, 1940 It has been noted recently by Artin and by Baer that one obtains the fundamental theorem of the Galois theory most readily by starting with a finite group 65 of automorphisms in a field P and determining the structure of P over c1 the set of invariant elements. One proves that P is finite, separable and normal and (M is its Galois group over 4'.
Nathan Jacobson
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Grothendieck’s extension of the fundamental theorem of galois theory in abstract categories
Journal of Contemporary Mathematical Analysis, 2011 Contravariant Galois adjunctions and two associated antiequivalences are constructed. By means of completion semimonadic functors, the analogs of Grothendieck’s extension of the Galois theory fundamental theorem are obtained in abstract categories.
Samuel H. Dalalyan
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Mini-Workshop: Arithmetic Geometry and Symmetries around Galois and Fundamental Groups
Oberwolfach Reports, 2019The geometric study of the absolute Galois group of the rational numbers has been a highly active research topic since the first milestones: Hilbert’s Irreducibility Theorem, Noether’s program, Riemann’s Existence Theorem.
B. Collas, P. Dèbes, M. Fried
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