Results 191 to 200 of about 4,257,446 (215)

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
exaly   +3 more sources

On the commutativity degree of a group algebra

Afrika Matematika, 2021
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.
exaly   +2 more sources

RELATIVE COMMUTATIVITY DEGREE OF A SUBPOLYGROUP OF A FINITE POLYGROUP

Journal of Mathematical Sciences
Bijan Davvaz, Madeleine Tahan
exaly   +2 more sources

Relative commutativity degree of some dihedral groups

AIP Conference Proceedings, 2013
The commutativity degree of a finite group G was introduced by Erdos and Turan for symmetric groups, finite groups and finite rings in 1968. The commutativity degree, P(G), is defined as the probability that a random pair of elements in a group commute.
Muhanizah Abdul Hamid, Nor Muhainiah Mohd Ali, Nor Haniza Sarmin, Fadila Normahia Abd Manaf   +3 more
openaire   +2 more sources

A Variant of Commutativity Degree and Its Generalized Conjugacy Class Graph

Advanced Science Letters, 2018
Nor Haniza Sarmin
exaly   +2 more sources

A Generalization of Commutativity Degree of Finite Groups

Communications in Algebra, 2012
Ashish Kumar Das
exaly   +2 more sources

SEMIGROUPS WITH MAXIMUM COMMUTING REGULARITY DEGREE

JP Journal of Algebra, Number Theory and Applications, 2017
Summary: The commuting regularity degree, \(\mathrm{dcr}(S)\) of a non-group semigroup \(S\) is defined and studied recently by the authors [Creat. Math. Inform. 24, No. 1, 43--47 (2015; Zbl 1349.20044)], where \(\mathrm{dcr}(S)\) is the probability that a pair \((x,y)\) of the elements of \(S\) is a commuting regular pair (the pair \((x,y)\) is called
Firuzkuhy, A., Doostie, H.
openaire   +2 more sources

Finite Groups with Four Relative Commutativity Degrees

Algebra Colloquium, 2015
It is shown that a finite group G has four relative commutativity degrees if and only if G/Z(G) is a p-group of order p3 and G has no abelian maximal subgroups, or G/Z(G) is a Frobenius group with Frobenius kernel and complement isomorphic to ℤp × ℤp and ℤq, respectively, and the Sylow p-subgroup of G is abelian, where p and q are distinct primes.
Erfanian, A., Farrokhi D. G., M.
openaire   +1 more source

Neighbors Degree Sum Energy of Commuting and Non-Commuting Graphs for Dihedral Groups

Malaysian Journal of Mathematical Sciences, 2023
The neighbors degree sum (NDS) energy of a graph is determined by the sum of its absolute eigenvalues from its corresponding neighbors degree sum matrix. The non-diagonal entries of NDS−matrix are the summation of the degree of two adjacent vertices, or it is zero for non-adjacent vertices, whereas for the diagonal entries are the negative of the ...
Romdhini, M. U., Nawawi, A., Chen, C. Y.
openaire   +1 more source