Results 1 to 10 of about 114,978 (268)

Hosoya Polynomials of Power Graphs of Certain Finite Groups [PDF]

open access: yesMolecules, 2022
Assume that G is a finite group. The power graph P(G) of G is a graph in which G is its node set, where two different elements are connected by an edge whenever one of them is a power of the other.
Bilal Ahmad Rather   +3 more
doaj   +2 more sources

Certain Topological Indices of Non-Commuting Graphs for Finite Non-Abelian Groups

open access: yesMolecules, 2022
A topological index is a number derived from a molecular structure (i.e., a graph) that represents the fundamental structural characteristics of a suggested molecule.
Fawad Ali   +5 more
doaj   +1 more source

Finite Groups for the Kummer Surface: The Genetic Code and a Quantum Gravity Analogy

open access: yesQuantum Reports, 2021
The Kummer surface was constructed in 1864. It corresponds to the desingularization of the quotient of a 4-torus by 16 complex double points. Kummer surface is known to play a role in some models of quantum gravity.
Michel Planat   +5 more
doaj   +1 more source

Locally Finite Groups Saturated with Direct Product of Two Finite Dihedral Groups

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2023
In the study of infinite groups, as a rule, some finiteness conditions are imposed. For example, the group is required to be periodic, Shunkov group, Frobenius group, locally finite group.
A. V. Kukharev, A.A. Shlepkin
doaj   +1 more source

Extensions of Finite Quantum Groups by Finite Groups [PDF]

open access: yesTransformation Groups, 2008
We give a necessary and sufficient condition for two Hopf algebras presented as central extensions to be isomorphic, in a suitable setting. We then study the question of isomorphism between the Hopf algebras constructed in 0707.0070v1 as quantum subgroups of quantum groups at roots of 1.
Andruskiewitsch, N., García, G. A.
openaire   +3 more sources

On commutativity and finiteness in groups [PDF]

open access: yesBulletin of the Brazilian Mathematical Society, New Series, 2009
22 ...
Oliveira, Ricardo N., Sidki, Said N.
openaire   +2 more sources

A probabilistic version of a theorem of lászló kovács and hyo-seob sim [PDF]

open access: yesInternational Journal of Group Theory, 2020
For a finite group group‎, ‎denote by $\mathcal V(G)$ the smallest positive integer $k$ with the property that the probability of generating $G$ by $k$ randomly chosen elements is at least $1/e.$ Let $G$ be a finite soluble group‎.
Andrea Lucchini, Mariapia Moscatiello
doaj   +1 more source

The t-Graphs over Finitely Generated Groups and the Minkowski Metric

open access: yesMathematics, 2022
In this paper, we introduce t-graphs defined on finitely generated groups. We study some general aspects of the t-graphs on two-generator groups, emphasizing establishing necessary conditions for their connectedness.
Gabriela Diaz-Porto   +2 more
doaj   +1 more source

On Periodic Groups Saturated with Finite Frobenius Groups

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2021
A group is called weakly conjugate biprimitively finite if each its element of prime order generates a finite subgroup with any of its conjugate elements. A binary finite group is a periodic group in which any two elements generate a finite subgroup. If $
B. E. Durakov, A.I. Sozutov
doaj   +1 more source

A Study On the Kernels of Irreducible Characters of Finite Groups

open access: yesCumhuriyet Science Journal, 2022
Let G be a finite group and χ∈Irr(G), where Irr(G) denotes the set of all irreducible characters of G. The kernel of χ is defined by ker⁡(χ)={ g∈G ┤| χ(g)=χ(1)}, where χ(1) is the character degree of χ. The irreducible character χ of G is called as
Temha Erkoç, Burcu Çınarcı
doaj   +1 more source

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