Results 101 to 110 of about 36,197 (185)

Mutually permutable products and conjugacy classes

Monatshefte für Mathematik, 2012
Let \(G\) be a group, two subgroups \(H\) and \(K\) of \(G\) are `permutable' if the set \(HK\) is a subgroup of \(G\), they are `mutually permutable' if \(H\) permutes with every subgroup of \(K\) and \(K\) permutes with every subgroup of \(H\). Let the (finite) group \(G=G_1G_2\cdots G_r\) be the product of pairwise permutable subgroups \(G_1,G_2 ...
Ballester-Bolinches, Adolfo, Cossey, Peter (John), Li, Yangming   +2 more
openaire   +3 more sources

On ∼n Notion of Conjugacy in Some Classes of Epigroups

Journal of Mathematics
The action of any group on itself by conjugation and the corresponding conjugacy relation plays an important role in group theory. Generalizing the group theoretic notion of conjugacy to semigroups is one of the interesting problems, and semigroup ...
Aftab Hussain Shah, Amal S. Alali, Mohd Rafiq Parray   +2 more
doaj   +1 more source

On conjugacy classes of the homomorphic images of a certain Bianchi group

Kuwait Journal of Science, 2017
In this paper, we classify the conjugacy classes of the action of PSL₂(O₂) on the projective line over finite fields, PL(F_{p}), where p is the M-S prime, by using the method of parametrization and investigate the behavoior of coset diagrams of these ...
Umar Shoaib
doaj  

Counting conjugacy classes and automorphism-conjugacy classes of ZM-groups

Asian-European Journal of Mathematics
In this paper, we count the number of conjugacy and automorphism-conjugacy classes of elements of a ZM-group. The size of a conjugacy class with respect to these two equivalence relations is also counted.
openaire   +2 more sources

Non-nilpotent groups with three conjugacy class of non-normal subgroups [PDF]

International Journal of Group Theory, 2014
For a finite group $G$ let $nu(G)$ denote the number of conjugacy classes of non-normal subgroups of $G$. The aim of this paper is to classify all the non-nilpotent groups with $nu(G)=3$.
Hamid Mousavi
doaj  

Groups whose proper subgroups of infinite rank have polycyclic-by-finite conjugacy classes [PDF]

International Journal of Group Theory, 2016
A group G is said to be a (PF)C-group or to have polycyclic-by-finite conjugacy classes, if G/C_{G}(x^{G}) is a polycyclic-by-finite group for all xin G. This is a generalization of the familiar property of being an FC-group.
Mounia Bouchelaghem, Nadir Trabelsi
doaj  

A note on conjugacy classes for multistate cellular automata

Publicaciones en Ciencias y Tecnología, 2007
The main goal of this note is to classify by conjugacy classes the collection of r-cellular automata generated by the permutations of r fixed local rules.

doaj  

Algebras of conjugacy classes in symmetric groups

, 2018
In 1999 V. Ivanov and S. Kerov observed that structure constants of algebras of conjugacy classes of symmetric groups $S_n$ admit a stabilization (in a non-obvious sense) as $n\to \infty$.
Neretin, Yury A.
core  

Periodic Orbits with Least Period Three on the Circle

Fixed Point Theory and Applications, 2008
The self-maps on the circle having periodic orbits with least period 3 are classified into relative homotopy-conjugacy classes. We will show that except for the maps in one exceptional class, all these kinds of maps have periodic orbits with all least ...
Xuezhi Zhao
doaj   +1 more source

Application of t-intuitionistic fuzzy subgroup to Sylow theory. [PDF]

Heliyon, 2023
Latif L, Shuaib U.
europepmc   +1 more source