Results 81 to 90 of about 48,689 (198)
COMPATIBLE SYSTEMS OF GALOIS REPRESENTATIONS ASSOCIATED TO THE EXCEPTIONAL GROUP $E_{6}$
Forum of Mathematics, Sigma, 2019 We construct, over any CM field, compatible systems of $l$-adic Galois representations that appear in the cohomology of algebraic varieties and have (for all $l$) algebraic monodromy groups equal to the exceptional group of type $E_{6}$.
GEORGE BOXER +5 more
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A Power Associative Loop Structure for the Construction of Non-Linear Components of Block Cipher
IEEE Access, 2020 In the symmetric key cryptography, the purpose of the substitution box is to generate confusion and hence improve the security of the whole cryptosystem.
Sadam Hussain +3 more
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Secure Deployment of Smart Meters
IET Generation, Transmission &Distribution, Volume 20, Issue 1, January/December 2026.A secure initialization process for smart meters is designed based on a systematic cybersecurity risk analysis of the deployment phase. Three initialization variants are defined and compared with respect to security, operational feasibility, and trust distribution.
David Kohout +4 more
wiley +1 more source
Khronos, 2016 This paper stresses a specific line of development of the notion of finite field, from Évariste Galois’s 1830 “Note sur la théorie des nombres,” and Camille Jordan’s 1870 Traité des substitutions et des équations algébriques, to Leonard Dickson’s 1901 ...
Frédéric BRECHENMACHER
doaj
SERRE WEIGHTS AND BREUIL’S LATTICE CONJECTURE IN DIMENSION THREE
Forum of Mathematics, Pi, 2020 We prove in generic situations that the lattice in a tame type induced by the completed cohomology of a $U(3)$-arithmetic manifold is purely local, that is, only depends on the Galois representation at places above $p$. This is a generalization to $\text{
DANIEL LE +3 more
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Diophantine Equation Generated by the Subfield of a Circular Field
Учёные записки Казанского университета: Серия Физико-математические наукиTwo forms f (x, y, z) and g(x, y, z) of degree 3 were constructed, with their values being the norms of numbers in the subfields of degree 3 of the circular fields K13 and K19 , respectively.
I. G. Galyautdinov, E. E. Lavrentyeva
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Computing character degrees via a Galois connection [PDF]
International Journal of Group Theory, 2015 In a previous paper, the second author established that, given finite fields ...
Mark L. Lewis , John K. McVey
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Lifting G-Valued Galois Representations when $\ell \neq p$
Forum of Mathematics, SigmaIn this paper, we study the universal lifting spaces of local Galois representations valued in arbitrary reductive group schemes when $\ell \neq p$ .
Jeremy Booher, Sean Cotner, Shiang Tang
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On realizability of $p$-groups as Galois groups
, 2011 In this article we survey and examine the realizability of $p$-groups as Galois groups over arbitrary fields. In particular we consider various cohomological criteria that lead to necessary and sufficient conditions for the realizability of such a group as a Galois group, the embedding problem (i.e., realizability over a given subextension ...
Michailov, Ivo M., Ziapkov, Nikola P.
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Galois groups of chromatic polynomials [PDF]
LMS Journal of Computation and Mathematics, 2012 AbstractThe chromatic polynomialP(G,λ) gives the number of ways a graphGcan be properly coloured in at mostλcolours. This polynomial has been extensively studied in both combinatorics and statistical physics, but there has been little work on its algebraic properties.
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