Results 11 to 20 of about 4,706 (177)
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.
C. Cox
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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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Degree of commutativity of infinite groups [PDF]
Proceedings of the American Mathematical Society, 2016 11 ...
Antolin, Yago +2 more
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On Commutativity Degree of Crossed Modules
Kragujevac Journal of MathematicsIn this paper, we define and study the notion of commutativity degree of finite crossed modules. We shall state some results concerning commutativity degree of crossed modules and obtain some upper and lower bounds for commutativity degree of finite crossed modules.
Amini, Somayeh +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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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 ...
M. Tărnăuceanu
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COMMUTATIVITY DEGREE OF A CLASS OF FINITE GROUPS AND CONSEQUENCES [PDF]
Bulletin of the Australian Mathematical Society, 2013 AbstractThe commutativity degree of a finite group is the probability that two randomly chosen group elements commute. The object of this paper is to compute the commutativity degree of a class of finite groups obtained by semidirect product of two finite abelian groups. As a byproduct of our result, we provide an affirmative answer to an open question
R. K. Nath
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Energetic formulation of the subgroup commutativity degree
Nonlinear AnalysisFinite groups in which every pair of subgroups (H, K) satisfies H K = K H have been classified by Iwasawa, but only in the last decade it was introduced the notion of subgroup commutativity degree sd(G) of groups G. From restrictions of numerical nature
Seid Kassaw Muhie +2 more
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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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On asymptotic commutativity degree of finite groups
Proyecciones (Antofagasta), 2019 The aim of this paper is to give a detailed account of a problema posed by P. Lescot regarding asymptotic commutativity degree of finite groups.
R. K. Nath
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