Results 201 to 210 of about 4,257,446 (215)

Commutativity degree of cyclic chains of some of finite groups

Journal of Interdisciplinary Mathematics
For a finite group G, we introduce the concept of commutativity degree of its cyclic chains. We denote the commutativity degree of cyclic chains of a group G by ccd(G), and compute this measure for some famous groups such as dihedral groups D2n ...
H. Darabi, M. Imanparast, Mostafa Sajedi
semanticscholar   +1 more source

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.
Rezaie, Elhameh, Ahmadidelir, Karim, Tehranian, Abolfazl, Rasouli, Hamid   +3 more
openaire   +2 more sources

Commutativity degree of chains of finite groups

Journal of Discrete Mathematical Sciences & Cryptography, 2023
The concepts of commutativity of two chains, and the commutativity degree of the chains of a finite group such as G which ends in G are introduced. Then, the relation between the commutativity degree of the chains of a finite group is examined, and eventually this measure is calculated for some finite groups and fuzzy subgroups.
Hamid Darabi, Mahdi Imanparast
openaire   +1 more source

Degree four identities not implied by commutativity

Communications in Algebra, 1988
We classify all (reducible or irreducible) degree four identities not implied by commutativlty, thus extending [1]. We study one class under the presence of an idempotent. For almost all the algebras of this class, simplicity implies associativity; we find, however, a generalization of right alternativity which contains significant algebras, including ...
CARINI, Luisa, I. R. HENTZEL, G. M. PIACENTINI CATTANEO   +2 more
openaire   +2 more sources

Subpolygroup commutativity degree of finite extension polygroup

International Journal of Algebra and Computation
In this paper, we consider finite extension polygroups as a special class of polygroups to study probabilistic polygroup theory. In this regard, we study the subpolygroup lattice of the extension polygroups. By using the results of the subpolygroup lattice, we obtain an explicit formula for the subpolygroup commutativity degree of the extension ...
M. Al-Tahan, B. Davvaz, P. Harikrishnan, P. Pallavi   +3 more
openaire   +1 more source

Subpolygroup Commutativity Degree of Finite Polygroups

2021
Al-Tahan, Madeleine Ali, Davvaz, Bijan, Andromeda Sonea   +2 more
openaire   +1 more source

The generalized commutativity degree in a finite group.

2009
Summary: Extending the notion of probability of commuting pairs [\textit{P. Erdős} and \textit{P. Turán}, Acta Math. Acad. Sci. Hung. 19, 413-435 (1968; Zbl 0235.20004); \textit{R. M. Guralnick} and \textit{G. R. Robinson}, J. Algebra 300, No. 2, 509-528 (2006; Zbl 1100.20045); \textit{W. H. Gustafson}, Am. Math. Mon.
openaire   +2 more sources

The relative commutativity degree of noncyclic subgroups of nonabelian metabelian groups of order at most 14

, 2017
F. A. Bakar, N. M. M. Ali, Norarida Abd Rhani   +2 more
semanticscholar   +1 more source

A NOTE ON THE RELATIVE COMMUTATIVITY DEGREE OF FINITE GROUPS

, 2014
R. Rezaei, A. Erfanian
semanticscholar   +1 more source

On the commutativity degree of compact groups

Archiv Der Mathematik, 2009
Rashid Rezaei, Ahmad Erfanian
exaly