Results 1 to 10 of about 15,277,946 (359)
Hosoya Polynomials of Power Graphs of Certain Finite Groups [PDF]
Molecules, 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
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Extensions of finite quantum groups by finite groups [PDF]
Transformation 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 ...
Andruskiewitsch, Nicolás +1 more
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Gravity on Finite Groups [PDF]
Communications in Mathematical Physics, 1999 Gravity theories are constructed on finite groups G. A self-consistent review of the differential calculi on finite G is given, with some new developments.
Castellani, Leonardo
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Certain Topological Indices of Non-Commuting Graphs for Finite Non-Abelian Groups
Molecules, 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
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Finite Groups for the Kummer Surface: The Genetic Code and a Quantum Gravity Analogy
Quantum 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
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Locally Finite Groups Saturated with Direct Product of Two Finite Dihedral Groups
Известия 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
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The t-Graphs over Finitely Generated Groups and the Minkowski Metric
Mathematics, 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
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On the structure of finite groups associated to regular non-centralizer graphs
AIMS Mathematics, 2023 The non-centralizer graph of a finite group $ G $ is the simple graph $ \Upsilon_G $ whose vertices are the elements of $ G $ with two vertices are adjacent if their centralizers are distinct.
Tariq A. Alraqad , Hicham Saber
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A probabilistic version of a theorem of lászló kovács and hyo-seob sim [PDF]
International 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
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On Periodic Groups Saturated with Finite Frobenius Groups
Известия 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
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