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Fuzzy Vaults in Biometric Cryptosystems: A Survey of Techniques, Performance, and Applications. [PDF]
Sensors (Basel)Farheen F, Yang WY, Sharma S, Singh S.
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Galois Groups, Galois Representations and Iwasawa Theory
Journal of the Indian Institute of Science, 2022In this article, the author provides a lively picture of the principal questions and the main results in Iwasawa theory. After briefly explaining the role of Leopoldt's conjecture in connection with the number of independent \(\mathbb Z_p\)-extensions of number fields, she introduces Galois representations and mentions the Tate module of elliptic ...
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Journal of Symbolic Logic, 1981
Krull [4] extended Galois theory to arbitrary normal extensions, in which the Galois groups are precisely the profinite groups (i.e. totally disconnected, compact, Hausdorff groups). Metakides and Nerode [7] produced two recursively presented algebraic extensionsK⊂Fof the rationals such thatFis abelian,Fis of infinite degree overK, and the Galois group
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Krull [4] extended Galois theory to arbitrary normal extensions, in which the Galois groups are precisely the profinite groups (i.e. totally disconnected, compact, Hausdorff groups). Metakides and Nerode [7] produced two recursively presented algebraic extensionsK⊂Fof the rationals such thatFis abelian,Fis of infinite degree overK, and the Galois group
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A Theory of Galois Switching Functions
IEEE Transactions on Computers, 1978Galois switching functions (GSF's) are generalizations of binary functions in that the input and output variables can assume values over any finite field. The concepts of minterms, k-cubes and minimal complexity realizations as related to GSF are introduced.
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2002
Let \((I,H,\eta, \varepsilon):{\mathcal C}\to{\mathcal X}\) be an adjunction between categories with pullbacks where \(I:{\mathcal C}\to{\mathcal X}\) is left adjoint to \(H:{\mathcal X}\to{\mathcal C}\). Let \(p:E\to B\) be a given fixed effective descent morphism in \({\mathcal C}\). The adjunction induces an adjunction \((I^E,H^E,\eta^E, \varepsilon^
CARBONI, AURELIO, JANELIDZE G.
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Let \((I,H,\eta, \varepsilon):{\mathcal C}\to{\mathcal X}\) be an adjunction between categories with pullbacks where \(I:{\mathcal C}\to{\mathcal X}\) is left adjoint to \(H:{\mathcal X}\to{\mathcal C}\). Let \(p:E\to B\) be a given fixed effective descent morphism in \({\mathcal C}\). The adjunction induces an adjunction \((I^E,H^E,\eta^E, \varepsilon^
CARBONI, AURELIO, JANELIDZE G.
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2018
This chapter focuses on Galois’s work. Can it be that although he had done his best to present the complete resolution of the question “When is a polynomial equation solvable by radicals”, what we can see are pieces of this resolution, key pieces presumably, but we don’t find them convincing?
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This chapter focuses on Galois’s work. Can it be that although he had done his best to present the complete resolution of the question “When is a polynomial equation solvable by radicals”, what we can see are pieces of this resolution, key pieces presumably, but we don’t find them convincing?
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Relative deformation theory, relative Selmer groups, and lifting irreducible Galois representations
Duke Mathematical Journal, 2021Stefan Patrikis +2 more
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