Results 41 to 50 of about 7,538,990 (210)

Universal properties of Delannoy categories

open access: yesJournal of the London Mathematical Society, Volume 114, Issue 4, October 2026.
Abstract Recently, Harman and Snowden introduced a new symmetric tensor category Perm̲(G,μ)$\operatorname{\underline{Perm}}(G, \mu)$ associated with an oligomorphic group G$G$ with a measure μ$\mu$. When G$G$ is the group of order‐preserving self‐bijections of the real line there are four such measures, and the resulting tensor categories are called ...
Kevin Coulembier   +2 more
wiley   +1 more source

Optimal bounds for local volumes of threefold singularities

open access: yesJournal of the London Mathematical Society, Volume 114, Issue 4, October 2026.
Abstract We establish an optimal upper bound for local volumes of Gorenstein canonical non‐hypersurface threefold singularities. Specifically, we show that a klt threefold singularity with local volume at least 9 is either a hypersurface singularity or a quotient singularity.
Yuchen Liu
wiley   +1 more source

Oeuvres mathématiques d'Évariste Galois

open access: yes, 1897
Evariste Galois ; publ. sous les auspices de la Société math. de France, avec une introduction par M.
Galois, Evariste
core   +1 more source

S-BOX CONSTRUCTION IN THE ADVANCED ENCRYPTION STANDARD (AES) DEVELOPMENT ALGORITHM IN GF(2^2), GF(2^4) & GF(2^6)

open access: yesBarekeng
This research aims to obtain a method for constructing S-boxes based on GF(22), GF(24) and GF(26). A review of the Galois Field GF(2m) is presented for m=1,2,3,4,5 and 6.
Adi Setiawan   +2 more
doaj   +1 more source

Abelian number fields with frobenian conditions

open access: yesMathematika, Volume 72, Issue 4, October 2026.
Abstract We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular, we find an asymptotic for the number of abelian field extensions of a number field k$k$ whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields.
Julie Tavernier
wiley   +1 more source

On the Galois module structure of units in met acyclic extensions [PDF]

open access: yes, 1996
Let Г be a metacyclic group of order pq with p and q prime. We shall show that the Г-cohomology and character of a Г-lattice determine its genus. Let N/L be a Galois extension with group Г, then U(_N), the torsion-free units of N, is a Г-lattice and the ...
McGaul, K.Y., McGaul, Karen Yvonne
core  

Galois-module theory for wildly ramified covers of curves over finite fields: (with an Appendix by Bernhard Köck and Adriano Marmora)

open access: yes, 2019
Given a Galois cover of curves over F_p , we relate the p-adic valuation of epsilon constants appearing in functional equations of ArtinL-functions to an equivariant Euler characteristic.
Köck, Bernhard   +3 more
core   +1 more source

PRIMITIVE MATRICES AND GENERATORS OF PSEUDO RANDOM SEQUENCES OF GALOIS

open access: yesÌнформаційні технології в освіті, 2014
In theory and practice of information cryptographic protection one of the key problems is the forming a binary pseudo-random sequences (PRS) with a maximum length with acceptable statistical characteristics.
A. Beletsky, E. Beletsky
doaj  

Invariance of recurrence sequences under a galois group

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1996
Let F be a Galois field of order q, k a fixed positive integer and R=Fk×k[D] where D is an indeterminate. Let L be a field extension of F of degree k. We identify Lf with fk×1 via a fixed normal basis B of L over F. The F-vector space Γk(F)(=Γ(L)) of all
Hassan Al-Zaid, Surjeet Singh
doaj   +1 more source

On the Existential Theory of the Completions of a Global Field

open access: yesMathematische Nachrichten, Volume 299, Issue 9, Page 2680-2692, September 2026.
ABSTRACT We discuss the common existential theory of all or almost all completions of a global function field.
Philip Dittmann, Arno Fehm
wiley   +1 more source

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