Results 31 to 40 of about 4,257,446 (215)

The probability of commuting subgroups in arbitrary lattices of subgroups [PDF]

open access: yesInternational Journal of Group Theory, 2021
A finite group $G$‎, ‎in which two randomly chosen subgroups $H$ and $K$ commute‎, ‎has been classified by Iwasawa in 1941‎. ‎It is possible to define a probabilistic notion‎, ‎which ``measures the distance'' of $G$ from the groups of Iwasawa‎.
Seid Kassaw Muhie, Francesco G. Russo
doaj   +1 more source

The squared Commutativity degree of dihedral groups [PDF]

open access: yes, 2016
The commutativity degree of a finite group is the probability that a random pair of elements in the group commute. Furthermore, the n-th power commutativity degree of a group is a generalization of the commutativity degree of a group which is defined as ...
M. A. Hamid   +4 more
semanticscholar   +3 more sources

On commutative power-associative algebras of degree two [PDF]

open access: bronzeTransactions of the American Mathematical Society, 1953
A. A. Albert
openalex   +3 more sources

Class preserving actor and commutativity degree of isoclinic Lie crossed modules

open access: yesNew Trends in Mathematical Sciences, 2022
In this work, we define the class preserving actor and commutativity degree of Lie crossed modules. Then, we obtain some relations about these notions and isoclinic Lie crossed modules.
E. Çağlayan
semanticscholar   +1 more source

New Aspects in the Theory of Complete Hypergroups

open access: yesComputer Sciences & Mathematics Forum, 2023
The aim of this paper is to review the most important properties and applications of the complete hypergroups. We will focus on the reversibility, regularity and reducibility properties, on the class equation and the commutativity degree of the complete ...
Irina Cristea
doaj   +1 more source

Relative Commutativity Degree of Nonabelian Metabelian Groups of Order 32

open access: yesJournal of Physics: Conference Series, 2021
A metabelian group is a group whose commutator subgroup is abelian. Similarly, a group G is metabelian if and only if there exists an abelian normal subgroup, A, such that the quotient group, G / A , is abelian.
N. Zakariah, N. M. Mohd Ali
semanticscholar   +1 more source

ON GENERALIZED RELATIVE COMMUTATIVITY DEGREE OF FINITE MOUFANG LOOP

open access: yesFacta Universitatis Series Mathematics and Informatics, 2021
For a given element $g$ of a finite group $G$, the probablility that the commutator of randomly choosen pair elements in $G$ equals $g$ is the relative commutativity degree of $g$.
Hamideh Hasanzadeh   +2 more
semanticscholar   +1 more source

COMMUTATIVITY DEGREE OF A CLASS OF FINITE GROUPS AND CONSEQUENCES [PDF]

open access: diamondBulletin of the Australian Mathematical Society, 2013
Rajat Kanti Nath
openalex   +2 more sources

FINITENESS OF COMMUTABLE MAPS OF BOUNDED DEGREE [PDF]

open access: yesBulletin 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
openaire   +2 more sources

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