Results 11 to 20 of about 4,257,446 (215)
Degree of commutativity of infinite groups [PDF]
Proceedings of the American Mathematical Society, 2016 11 ...
Yago Antolín +2 more
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The degree of commutativity and lamplighter groups [PDF]
International Journal of Algebra and Computation, 2018 The degree of commutativity of a group [Formula: see text] measures the probability of choosing two elements in [Formula: see text] which commute. There are many results studying this for finite groups. In [Y. Antolín, A. Martino and E. Ventura, Degree of commutativity of infinite groups, Proc. Amer. Math. Soc.
Charles Garnet Cox
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Commutativity and Completeness Degrees of Weakly Complete Hypergroups [PDF]
Mathematics, 2022 We introduce a family of hypergroups, called weakly complete, generalizing the construction of complete hypergroups. Starting from a given group G, our construction prescribes the β-classes of the hypergroups and allows some hyperproducts not to be ...
Mario De Salvo +3 more
doaj +2 more sources
Commutativity Degree of Crossed Modules
TURKISH JOURNAL OF MATHEMATICS, 2021 Summary: In this work, we define the notion of commutativity degree of crossed modules and find some bounds on commutativity degree for special types of crossed modules. Also, we give a function for finding commutativity degree of crossed modules in \textsf{GAP} and classify crossed modules by using this function.
Arvasi, Zekeriya +2 more
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THE SUBGROUP COMMUTATIVITY DEGREE OF FINITE -GROUPS [PDF]
Bulletin of the Australian Mathematical Society, 2015 The subgroup commutativity degree of a group $G$ is the probability that two subgroups of $G$ commute, or equivalently that the product of two subgroups is again a subgroup. For the dihedral, quasi-dihedral and generalised quaternion groups (all of 2-power cardinality), the subgroup commutativity degree tends to 0 as the size of the group tends to ...
MARIUS TĂRNĂUCEANU
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Commutativity Degree of Certain Finite AC-Groups [PDF]
Mathematics Interdisciplinary Research, 2021 For a finite group G, the probability of two elements of G that commute is the commutativity degree of G denoted by P(G). As a matter of fact, if C = {(a; b) ∈ G×G | ab = ba}, then P(G) = |C|/|G|2 .
Azizollah Azad, Sakineh Rahbariyan
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Correspondence between the Energy Equipartition Theorem in Classical Mechanics and Its Phase-Space Formulation in Quantum Mechanics [PDF]
Entropy, 2023 In classical physics, there is a well-known theorem in which it is established that the energy per degree of freedom is the same. However, in quantum mechanics, due to the non-commutativity of some pairs of observables and the possibility of having non ...
Esteban Marulanda +2 more
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The Quartic Commutativity Degree of Dihedral Groups
Malaysian Journal of Fundamental and Applied Sciences, 2023 The combination of group theory and probability theory was used in studying the connection between the two. In recent years, probability theory has been widely used in solving several difficult problems in group theory. The commutativity degree of a group, is defined as the probability that two random elements in a group commute.
Muhanizah Abdul Hamid, Adnin Afifi Nawi
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Characterizing Lie Algebra Structure via the Commutativity Degree
Journal of MathematicsThe aim of this paper is to determine the possible values of the commutativity degree of Lie algebras. We define the asymptotic commutativity degree of Lie algebras and obtain the asymptotic commutativity degree for some of them.
Afsaneh Shamsaki +2 more
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COMMUTING POWERS AND EXTERIOR DEGREE OF FINITE GROUPS [PDF]
Journal of the Korean Mathematical Society, 2012 to appear in the J. Korean Math. Soc.
Niroomand P, Rezaei R, Russo F
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