Results 1 to 10 of about 1,000,224 (154)
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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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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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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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 subgroups of quantum groups at roots of 1.
Andruskiewitsch, N., García, G. A.
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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 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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Journal of Pure and Applied Algebra, 2015 7 pages.
Caranti A, SCOPPOLA, CARLO MARIA
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Which finite simple groups are unit groups? [PDF]
, 2014 We prove that if $G$ is a finite simple group which is the unit group of a ring, then $G$ is isomorphic to either (a) a cyclic group of order 2; (b) a cyclic group of prime order $2^k -1$ for some $k$; or (c) a projective special linear group $PSL_n ...
Davis, Christopher, Occhipinti, Tommy
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