Results 111 to 120 of about 3,179 (217)
On ∼n Notion of Conjugacy in Some Classes of Epigroups
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 +2 more
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Non-nilpotent groups with three conjugacy class of non-normal subgroups [PDF]
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
Spherical conjugacy classes and the Bruhat decomposition [PDF]
Let G be a connected, reductive algebraic group over an algebraically closed field of zero or good and odd characteristic. We characterize spherical conjugacy classes in G
openaire +4 more sources
Conjugacy classes in finite groups
SynopsisIn this paper, the number of conjugacy classes in a finite group G is analysed in terms of the number of ordered pairs that generate it. Using this relation, we give a new elementary proof of one of A. Mann's results for finite groups, namely: |G|
Antonio Vera López
core +1 more source
𝑞-Conjugacy classes in loop groups [PDF]
This paper discusses the twisted conjugacy classes in loop groups. We restrict to classical groups and give some explicit classifications.
openaire +3 more sources
Camina groups with few conjugacy classes
Let G be a finite group having a proper normal subgroup K such that the conjugacy classes outside K coincide with the cosets of K. The subgroup K turns out to be the derived subgroup of G, so the group G is either abelian or Camina.
A. S. Muktibodh, CANGELMI, LEONARDO
core +1 more source
Groups whose proper subgroups of infinite rank have polycyclic-by-finite conjugacy classes [PDF]
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
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
Periodic Orbits with Least Period Three on the Circle
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

