Results 171 to 180 of about 2,562,424 (201)

Shifted Poisson structures on higher Chevalley-Eilenberg algebras. [PDF]

Lett Math Phys
Kemp C, Laugwitz R, Schenkel A.
europepmc   +1 more source

Quadratic Motion Polynomials with Irregular Factorizations. [PDF]

Adv Appl Clifford Algebr
Thimm DA, Li Z, Schröcker HP, Siegele J.   +3 more
europepmc   +1 more source

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On the commutativity degree of a group algebra

Afrika Matematika, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rashid Rezaei
exaly   +3 more sources

On a lower bound of commutativity degree

Rendiconti Del Circolo Matematico Di Palermo, 2010
There is a growing interest in the last years in the so-called ``commutativity degree'' of a finite group \(G\): this is defined as the number \(d(G)=\tfrac 1{|G|^2}|\{(x,y)\in G^2\mid [x,y]=1\}|\). The authors of this paper are devoting many researches in the last years to the topic, generalizing a series of recent contributions in the literature.
Ashish Kumar Das, Rajat Kanti Nath
exaly   +3 more sources

Some results on relative commutativity degree

Rendiconti Del Circolo Matematico Di Palermo, 2015
The relative commutativity degree of a subgroup \(H\) of a finite group \(G\), denoted by \(Pr(H,G)\), is the probability that an element of \(G\) commutes with an element of \(H\). The authors show some lower and upper bounds for \(Pr(H,G)\) and an invariance property of \(Pr(H,G)\) under isoclinism of pairs of groups. Even if the methods of proof may
Rajat Kanti Nath
exaly   +3 more sources

On the commutativity degree of compact groups

Archiv Der Mathematik, 2009
In any finite group \(G\), for every \(n\geq 2\) the \(n\)-th commutative degree \(d_n(G)\) is the probability that a randomly chosen ordered \((n+1)\)-tuple of the group elements is mutually commuting. The aim of this paper is to generalize this definition to every compact group, which is possible since such a group can be considered as a probability ...
Ahmad Erfanian, Rashid Rezaei
exaly   +3 more sources

CENTRAL EXTENSIONS AND COMMUTATIVITY DEGREE

Communications in Algebra, 2001
In this paper, we shall determine, up to isomorphism, all finite groups G with commutativity degree d(G) greater than or equal to ½.
Paul Lescot
exaly   +2 more sources

Non-Commuting Graphs and Some Bounds for Commutativity Degree of Finite Moufang Loops

Bulletin of the Iranian Mathematical Society, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hamid Rasouli
exaly   +3 more sources

RELATIVE COMMUTATIVITY DEGREE OF A SUBPOLYGROUP OF A FINITE POLYGROUP

Journal of Mathematical Sciences
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Madeleine Tahan, Bijan Davvaz
exaly   +3 more sources

A Generalization of Commutativity Degree of Finite Groups

Communications in Algebra, 2012
The commutativity degree of a finite group is the probability that two arbitrarily chosen group elements commute. This notion has been generalized in a number of ways. The object of this article is to study yet another generalization of the same notion, which further extends some of the existing generalizations.
Ashish Kumar Das, Rajat Kanti Nath
exaly   +2 more sources