Results 11 to 20 of about 441 (146)

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, Ilgaz Caglayan, Elif, Odabas, Alper   +2 more
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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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Degree estimate for commutators

Journal of Algebra, 2009
18 ...
Drensky, V, Yu, JT
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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.
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Degree of commutativity of infinite groups [PDF]

Proceedings of the American Mathematical Society, 2016
11 ...
Antolin, Yago, Martino, Armando, Ventura Capell, Enric   +2 more
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On generalized commutativity degree of a finite group

Rocky Mountain Journal of Mathematics, 2011
Let \(G\) be a finite group. The generalized commutator of an \(n\)-tuple \((x_1,x_2,\dots,x_n)\in G^n\) is defined as the product \(x_1x_2\cdots x_nx_1^{-1}x_2^{-1}\cdots x_n^{-1}\). The object of this paper is to study the probability that the generalized commutator of an arbitrarily chosen \(n\)-tuple of group elements equals a given group element \(
Nath, R.K., Das, A.K.
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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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On Commutativity Degree of Crossed Modules

Kragujevac Journal of Mathematics
In 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, Heidarian, Shahram, Haghani, Farhad Khaksar   +2 more
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On subpolygroup commutativity degree of finite polygroups

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, Sarka Hoskova-Mayerova, B. Davvaz, A. Sonea   +3 more
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