Results 11 to 20 of about 2,562,424 (201)
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.
Cox, Charles Garnet
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The cubed commutativity degree of dihedral groups [PDF]
AIP Conference Proceedings, 2016 Let G be a finite group. The commutativity degree of a group is the probability that a random pair of elements in the group commute. Furthermore, the n-th power commutativity degree of a group is a generalization of the commutativity degree of a group which is defined as the probability that the n-th power of a random pair of elements in the group ...
Muhanizah Abdul Hamid +3 more
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On subpolygroup commutativity degree of finite polygroups [PDF]
AIMS Mathematics, 2023 <abstract><p>Probabilistic group theory is concerned with the probability of group elements or group subgroups satisfying certain conditions. On the other hand, a polygroup is a generalization of a group and a special case of a hypergroup. This paper generalizes probabilistic group theory to probabilistic polygroup theory.
M. Al Tahan +3 more
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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
Nath, R. K.
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Energetic formulation of the subgroup commutativity degree [PDF]
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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On the commutativity degree in finite Moufang loops [PDF]
International Journal of Group Theory, 2016 The textit{commutativity degree}, $Pr(G)$, 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.
Karim Ahmadidelir
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On the values of commutativity degree of Lie algebras [PDF]
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Shamsaki, Afsaneh +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.
Nath, Rajat Kanti
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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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FINITENESS OF COMMUTABLE MAPS OF BOUNDED DEGREE [PDF]
Bulletin of the Korean Mathematical Society, 2015 In this paper, we study the relation between two dynamical systems (V,f) and (V,g) with f. g = g . f. As an application, we show that an endomorphism (respectively a polynomial map with Zariski dense, of bounded Pre(f) has only finitely many endomorphisms (respectively polynomial maps) of bounded degree which are commutable with f.
Lee, Chong Gyu, Ye, Hexi
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