A subgroup X of a group G is said to be pronormal if for each element g of G the subgroups X and Xg are conjugate in (X, Xg). The aim of this paper is to study pronormality and some close embedding properties, like weak normality and weak pronormality. In particular, it is proved that these properties can be countably detected, and the behaviour of groups which are rich in (generalized) pronormal subgroups is investigated
We extend some results known for FC-groups to the class FC* of generalized FC-groups introduced in d...
This article is dedicated to some criteria of generalized nilpotency involving pronormality and abno...
summary:This article is dedicated to soluble groups, in which pronormality is a transitive relation....
A subgroup X of a group G is said to be pronormal if for each element g of G the subgroups X and Xg ...
The pronorm of a group G is the set of all elements such that X and are conjugate in for every subgr...
The pronorm of a group G is the set P(G) of all elements g ∈ G such that X and Xg are conjugate in 〈...
A subgroup of a group is called almost normal if it has only finitely many conjugates, or equivalent...
A subgroup H of a finite group G is called weakly pronormal in G if there exists a subgroup K of G s...
A subgroup H of a group G is pronormal in G if each of its conjugates in G is conjugate to it in the...
In this note, we present a new subgroup embedding property that can be considered as an analogue of...
According to P. Hall, a subgroup H of a finite group G is called pronormal in G if, for any element ...
In this paper we consider a subgroup embedding property weaker than normality, dualpronormality. We ...
In the study of the arrangement of intermediate subgroups a wide use has been made of certain proper...
We extend some results known for FC-groups to the class FC* of generalized FC-groups introduced in d...
This article is dedicated to some criteria of generalized nilpotency involving pronormality and abno...
summary:This article is dedicated to soluble groups, in which pronormality is a transitive relation....
A subgroup X of a group G is said to be pronormal if for each element g of G the subgroups X and Xg ...
The pronorm of a group G is the set of all elements such that X and are conjugate in for every subgr...
The pronorm of a group G is the set P(G) of all elements g ∈ G such that X and Xg are conjugate in 〈...
A subgroup of a group is called almost normal if it has only finitely many conjugates, or equivalent...
A subgroup H of a finite group G is called weakly pronormal in G if there exists a subgroup K of G s...
A subgroup H of a group G is pronormal in G if each of its conjugates in G is conjugate to it in the...
In this note, we present a new subgroup embedding property that can be considered as an analogue of...
According to P. Hall, a subgroup H of a finite group G is called pronormal in G if, for any element ...
In this paper we consider a subgroup embedding property weaker than normality, dualpronormality. We ...
In the study of the arrangement of intermediate subgroups a wide use has been made of certain proper...
We extend some results known for FC-groups to the class FC* of generalized FC-groups introduced in d...
This article is dedicated to some criteria of generalized nilpotency involving pronormality and abno...
summary:This article is dedicated to soluble groups, in which pronormality is a transitive relation....
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