Results 91 to 100 of about 40,312 (218)

Characterization of Group of Invertible Elements of Six Index Zero Completely Primary Finite Rings of Characteristic p

Wasit Journal for Pure Sciences
The study of finite extension of Galois rings in the recent past have given rise to commutative completely primary finite rings that have attracted much attention as they have yielded important results towards classification of finite rings into well ...
Hezron Were, Nicholas Waweru, Edward Njuguna, John Matuya   +3 more
doaj   +1 more source

An algorithm for the construction of substitution box for block ciphers based on projective general linear group

AIP Advances, 2017
The aim of this work is to synthesize 8*8 substitution boxes (S-boxes) for block ciphers. The confusion creating potential of an S-box depends on its construction technique.
Anas Altaleb, Muhammad Sarwar Saeed, Iqtadar Hussain, Muhammad Aslam   +3 more
doaj   +1 more source

On differential Galois groups of strongly normal extensions [PDF]

, 2018
Quentin Brouette, Françoise Point
openalex   +1 more source

Abelian extensions in dynamical Galois theory [PDF]

, 2020
Jesse Andrews, Clayton Petsche
openalex   +1 more source

Cuspidal ${\ell }$ -modular representations of $\operatorname {GL}_n({ F})$ distinguished by a Galois involution

Forum of Mathematics, Sigma
Let ${ F}/{ F}_0$ be a quadratic extension of non-Archimedean locally compact fields of residual characteristic $p\neq 2$ with Galois automorphism $\sigma $ , and let R be an algebraically closed field of characteristic $\ell ...
Robert Kurinczuk, Nadir Matringe, Vincent Sécherre   +2 more
doaj   +1 more source

Generic Hopf Galois extensions [PDF]

, 2011
In previous joint work with Eli Aljadeff we attached a generic Hopf Galois extension A(H,c) to each twisted algebra H(c) obtained from a Hopf algebra H by twisting its product with the help of a cocycle c. The algebra A(H,c) is a flat deformation of H(c) over a "big" central subalgebra B(H,c) and can be viewed as the noncommutative analogue of a versal
openaire   +3 more sources

Improving the efficiency of using multivalued logic tools: application of algebraic rings. [PDF]

Sci Rep, 2023
Suleimenov IE, Vitulyova YS, Kabdushev SB, Bakirov AS.   +3 more
europepmc   +1 more source

Galois 2-Extensions [PDF]

, 2015
The inverse Galois problem is a major question in mathematics. For a given base field and a given finite group $G$, one would like to list all Galois extensions $L/F$ such that the Galois group of $L/F$ is $G$. In this work we shall solve this problem for all fields $F$, and for group $G$ of unipotent $4 \times 4$ matrices over $\mathbb{F}_2$.
openaire  

Skew-Forms and Galois Theory

Comptes Rendus. Mathématique
Let $L/K$ be a cyclic extension of degree $n = 2m$. It is known that the space $\mathrm{Alt}_K(L)$ of alternating $K$-bilinear forms (skew-forms) on $L$ decomposes into a direct sum of $K$-subspaces $A^{\sigma ^i}$ indexed by the elements of $\mathrm{Gal}
Gupta, Ashish, Mandal, Sugata
doaj   +1 more source

Zariski density of crystalline points. [PDF]

Proc Natl Acad Sci U S A, 2023
Böckle G, Iyengar A, Paškūnas V.
europepmc   +1 more source