Results 11 to 20 of about 36,999 (191)
SMARANDACHE-GALOIS FIELDS [PDF]
, 2010 In this paper we study the notion of Smarandache-Galois fields and homomorphism and the Smarandache quotient ring. Galois fields are nothing but fields having only a finite number of elements.
Vasantha Kandasamy, W. B.
core +1 more source
Global Solvably Closed Anabelian Geometry [PDF]
, 2006 In this paper, we study the pro-Σ anabelian geometry of hyperbolic curves, where Σ is a nonempty set of prime numbers, over Galois groups of “solvably closed extensions” of number fields — i.e., infinite extensions of number fields which have ...
Mochizuki, Shinichi
core +3 more sources
Advanced Engineering Research, 2018 Introduction. Polynomials in several variables over Galois fields provide the basis for the Reed-Muller coding theory, and are also used in a number of cryptographic problems.
V. M. Deundyak, N. S. Mogilevskaya
doaj +1 more source
QUANTUM THEORY AND GALOIS FIELDS [PDF]
International Journal of Modern Physics B, 2006 We discuss the motivation and main results of a quantum theory over a Galois field (GFQT). The goal of the paper is to describe main ideas of GFQT in a simplest possible way and to give clear and simple arguments that GFQT is a more natural quantum theory than the standard one.
openaire +2 more sources
GALOIS FIELD QUANTUM MECHANICS [PDF]
Modern Physics Letters B, 2013 We construct a discrete quantum mechanics (QM) using a vector space over the Galois field GF(q). We find that the correlations in our model do not violate the Clauser–Horne–Shimony–Holt (CHSH) version of Bell's inequality, despite the fact that the predictions of this discrete QM cannot be reproduced with any hidden variable theory.
Chang, Lay Nam +3 more
openaire +3 more sources
The density of discriminants of quintic rings and fields [PDF]
, 2010 We determine, asymptotically, the number of quintic fields having bounded discriminant. Specifically, we prove that the asymptotic number of quintic fields having absolute discriminant at most X is a constant times X.
Bhargava, Manjul
core +1 more source
Markov loops, coverings and fields [PDF]
, 2016 We investigate the relations between the Poissonnian loop ensembles , their occupation fields, non ramified Galois coverings of a graph, the associated gauge fields, and random Eulerian ...
Jan, Yves Le
core +4 more sources
Infinite Towers of Galois Defect Extensions of Kaplansky Fields
Annales Mathematicae Silesianae, 2018 We give conditions for Kaplansky fields to admit infinite towers of Galois defect extensions of prime degree. As proofs of the presented facts are constructive, this provides examples of constructions of infinite towers of Galois defect extensions of ...
Blaszczok Anna
doaj +1 more source
On automorphic points in polarized deformation rings [PDF]
, 2019 For a fixed mod $p$ automorphic Galois representation, $p$-adic automorphic Galois representations lifting it determine points in universal deformation space.
Allen, P.
core +2 more sources
Counterexamples to a conjecture of Lemmermeyer [PDF]
, 1998 We produce infinitely many finite 2-groups that do not embed with index 2 in any group generated by involutions. This disproves a conjecture of Lemmermeyer and restricts the possible Galois groups of unramified 2-extensions, Galois over the rationals, of
Boston, Nigel, Leedham-Green, Charles
core +1 more source