Results 11 to 20 of about 816 (183)
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
Nath, R. K.
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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.
Nath, Rajat Kanti
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On the values of commutativity degree of Lie algebras
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Shamsaki, Afsaneh +2 more
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Energetic formulation of the subgroup commutativity degree
Nonlinear Analysis: Modelling and ControlFinite 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 on sd(G) one usually derives structural conditions on G; in fact, among groups G with sd(G) = 1, one
Seid Kassaw Muhie +2 more
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The degree of commutativity for group rings [PDF]
The degree of commutativity is a classic topic studied in non-commutative algebra. Nevertheless, nowadays is still an active field, with research extending the concept to some specific algebraic structures, or generalizing the concept to infinite groups.
Llorens i Domingo, Pere
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On the commutativity degree in finite Moufang loops
International Journal of Group Theory, 2016 Summary: The \textit{commutativity degree}, \(\mathrm{Pr}(G)\), of a finite group \(G\) (i.e. the probability that two (randomly chosen) elements of \(G\) commute with respect to its operation)) has been studied well by many authors. It is well-known that the best upper bound for \(\mathrm{Pr} (G)\) is \(\frac{5}{8}\) for a finite non-ablian group \(G\)
Karim Ahmadidelir
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ON GENERALIZED RELATIVE COMMUTATIVITY DEGREE OF FINITE MOUFANG LOOP [PDF]
, 2021 For a given element $g$ of a finite group $G$, the probablility that the commutator of randomly choosen pair elements in $G$ equals $g$ is the relative commutativity degree of $g$.
Iranmanesh, Ali +2 more
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Relative commutativity degree of nonabelian metabelian groups of order 32 [PDF]
, 2021 A metabelian group is a group whose commutator subgroup is abelian. Similarly, a group G is metabelian if and only if there exists an abelian normal subgroup, A, such that the quotient group, G / A , is abelian.
Zakariah, N. A., Mohd. Ali, N. M.
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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 ...
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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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