Results 1 to 10 of about 985 (70)

Symmetric designs and projective special unitary groups $\text{PSU}_{5}(q)$ [PDF]

open access: yesInternational Journal of Group Theory, 2022
In this article‎, ‎we prove that if a nontrivial symmetric $(v‎, ‎k‎, ‎\lambda)$ design admit a flag-transitive and point-primitive automorphism group $G$‎, ‎then the socle $X$ of $G$ cannot be a projective special unitary group of dimension five‎. ‎As a
Ashraf Daneshkhah
doaj   +1 more source

GEOMETRY AND TOPOLOGY OF EXTERNAL AND SYMMETRIC PRODUCTS OF VARIETIES

open access: yesTạp chí Khoa học Đại học Đà Lạt, 2021
We give a brief overview of recent developments on the calculation of generating series for invariants of external products of suitable coefficients (e.g., constructible or coherent sheaves, or mixed Hodge modules) on complex quasi-projective varieties.
Laurentiu George Maxim
doaj   +1 more source

Group codes over symmetric groups

open access: yesAIMS Mathematics, 2023
Let $ \Bbb F_{q} $ be a finite field of characteristic $ q $ and $ S_n $ a symmetric group of order $ n! $. In this paper, group codes in the symmetric group algebras $ \Bbb F_{q}S_n $ with $ q > 3 $ and $ n = 3, 4 $ are proposed.
Yanyan Gao , Yangjiang Wei
doaj   +1 more source

Algebraic constructions of group divisible designs

open access: yesExamples and Counterexamples, 2023
Some series of Group divisible designs using generalized Bhaskar Rao designs over Dihedral, Symmetric and Alternating groups are obtained.
Shyam Saurabh, Kishore Sinha
doaj   +1 more source

Boolean lattices in finite alternating and symmetric groups

open access: yesForum of Mathematics, Sigma, 2020
Given a group G and a subgroup H, we let $\mathcal {O}_G(H)$ denote the lattice of subgroups of G containing H. This article provides a classification of the subgroups H of G such that $\mathcal {O}_{G}(H)$ is Boolean of rank at least
Andrea Lucchini   +3 more
doaj   +1 more source

Computing the number of symmetric colorings of elementary Abelian groups

open access: yesAlexandria Engineering Journal, 2021
Given a finite group G and a positive integer r, an r-coloring of G is any mapping χ:G→{1,…,r}. Colorings χ and φ are equivalent if there exists g∈G such that χ(xg-1)=φ(x) for all x∈G. A coloring χ is symmetric if there exists g∈G such that χ(gx-1g)=χ(x)
Yuliya Zelenyuk
doaj   +1 more source

Mesomorphic Behavior of Symmetric Azomethine Dimers Containing Different Chromophore Groups

open access: yesMolecules, 2021
A series of new azomethine dimers was synthesized by the condensation reaction of flexible bis-benzaldehydes with four aromatic amines containing phenyl, naphthyl, anthracene and pyrene groups.
Elena Perju, Luminita Marin
doaj   +1 more source

Permutation codes over Sylow 2-subgroups $Syl_2(S_{2^n})$ of symmetric groups $S_{2^n}$

open access: yesResearches in Mathematics, 2021
The permutation code (or the code) is well known object of research starting from 1970s. The code and its properties is used in different algorithmic domains such as error-correction, computer search, etc.
V.A. Olshevska
doaj   +1 more source

An algorithm for generating permutation algebras using soft spaces

open access: yesJournal of Taibah University for Science, 2018
Soft set theory has recently gained significance for finding rational and logical solutions to various real-life problems, which involve uncertainty, impreciseness and vagueness.
Shuker Mahmood Khalil   +1 more
doaj   +1 more source

Invariants in Non-Commutative Variables of the Symmetric and Hyperoctahedral Groups [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2008
We consider the graded Hopf algebra $NCSym$ of symmetric functions with non-commutative variables, which is analogous to the algebra $Sym$ of the ordinary symmetric functions in commutative variables.
Anouk Bergeron-Brlek
doaj   +1 more source

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