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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

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 ...
Andruskiewitsch, Nicolás   +1 more
core   +3 more sources

Gravity on Finite Groups [PDF]

open access: yesCommunications 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
core   +5 more sources

Recent developments on the power graph of finite groups - a survey

open access: yesAKCE Int. J. Graphs Comb., 2021
Funding: Ajay Kumar is supported by CSIR-UGC JRF, New Delhi, India, through Ref No.: 19/06/2016(i)EU-V/Roll No: 417267. Lavanya Selvaganesh is financially supported by SERB, India, through Grant No.: MTR/2018/000254 under the scheme MATRICS. T.
Ajay Kumar   +3 more
semanticscholar   +1 more source

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

Classification of finite groups that admit an oriented regular representation [PDF]

open access: yesBulletin of the London Mathematical Society, 2017
This is the third, and last, of a series of papers dealing with oriented regular representations. Here we complete the classification of finite groups that admit an oriented regular representation (or ORR for short), and give a complete answer to a 1980 ...
Joy Morris, Pablo Spiga
semanticscholar   +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

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