Results 91 to 100 of about 816 (183)

ON COMMUTATIVITY AND APPROXIMATION

open access: yes, 1983
The action of commutativity and approximation is analyzed for some problems in Computational Complexity. Lower bound criteria to the approximate complexity are given in terms of border rank and commulative border rank of a given tensor.
Bini, Dario, BINI, DARIO ANDREA
core   +1 more source

An alternative technique for computing the commutativity degree of dihedral groups

open access: yes, 2013
Let G be a finite dihedral group Dn. The probability that two random elements commute is called the commutativity degree and it is denoted by P(G). Another technique is used to compute the commutativity is using centralizers.
Sarmin, Nor Haniza   +3 more
core  

Strong subgroup commutativity degree and some recent problems on the commuting probabilities of elements and subgroups

open access: yes, 2017
We show some results on the probability that a randomly picked pair (H;K) of subgroups of a nite group G satises [H;K] = 1. This notion of probability is related with the  subgroup S-commutativity degree in [D.E. Otera and F.G.
Russo, Francesco G.
core  

Generalized commutativity degrees of some finite groups and their related graphs [PDF]

open access: yes, 2017
The commutativity degree of a finite group G is the probability that two randomly chosen elements of the group G commute and is denoted as P(G). The concept of commutativity degree is then extended to the relative commutativity degree of a groupG ...
Abdul Hamid, Muhanizah
core  

The exact bounds for the degree of commutativity of a p-group of maximal class, II

open access: yes, 2004
Let G be a p-group of maximal class. Since the pioneer work of Blackburn in 1958 (cf. [N. Blackburn, Acta Math. 100 (1958) 45–92]), several authors have obtained information about the degree of commutativity c of G, in order to precise which the defining
Garcı́a-Sánchez, M.A.   +4 more
core   +1 more source

On the commutativity degree of metacyclic groups of 5-power order using conjugation action

open access: yes, 2017
An extension of the concept of commutativity degree named the probability that an element of a group fixes a set was introduced in 2013. Suppose is a metacyclic 5-group  and  is the set of all ordered pairs  (x,y) in G*G  such that lcm(|x|,|y|)=5, xy=yx  
Mustafa Anis El-Sanfaz   +4 more
core   +1 more source

On the commutativity degree of a finite-dimensional Lie algebra

open access: yes
In this paper, we introduce the commutativity degree of a finite-dimensional Lie algebra over a finite field and determine upper and lower bounds for it.
Erfanian, Ahmad   +2 more
core  

Strong Commutativity Preserving Maps on Lie Ideals

open access: yes, 2013
[[abstract]]Let A be a prime ring and let R be a noncentral Lie ideal of A. An additive map f:R→A is called strong commutativity preserving (SCP) on R if [f(x),f(y)]=[x,y] for all x,y∈R.
Lin, Jer-Shyong; Liu, Cheng-Kai
core  

Twisted commutativity and conjugacy ratio in groups

open access: yes
In this paper we introduce and study the degree of twisted commutativity and the twisted conjugacy ratio of a finitely generated group $G$. The degree of twisted commutativity $\mathrm{tdc}_X(\varphi, G)$ generalises the degree of commutativity of $G ...
Ciobanu Radomirovic, Laura; id_orcid   +2 more
core   +1 more source

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