Results 11 to 20 of about 7,066,169 (247)

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

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

Endotrivial modules for finite groups of Lie type. [PDF]

open access: yes, 2006
We classify the endotrivial modules for all finite groups of Lie type in defining ...
Mazza, Nadia   +2 more
core   +3 more sources

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

On structural aspects of finite simple groups of Lie type [PDF]

open access: yes, 2011
PhDIn this PhD thesis, we consider two problems that are related to finite simple groups of Lie type. First of them is a problem mentioned in the Kourovka notebook: describe the finite simple groups in which every element is a product of two ...
Ramo, Johanna Maria
core   +4 more sources

The maximal subgroups of the classical groups in dimension 13, 14 and 15 [PDF]

open access: yes, 2015
One might easily argue that the Classification of Finite Simple Groups is one of the most important theorems of group theory. Given that any finite group can be deconstructed into its simple composition factors, it is of great importance to have a ...
Schröder, Anna Katharina
core   +2 more sources

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