Add to ORKGA subgroup $X$ of a group $G$ is said to be an H-subgroup if NG(X) ∩ Xg ≤ X for each element $g$ belonging to $G$. In [M. Bianchi and e.a., On finite soluble groups in which normality is a transitive relation, J. Group Theory, 3 (2000) 147--156.] the authors showed that finite groups in which every subgroup has the H-property are exactly soluble groups in which normality is a transitive relation. Here we extend this characterization to groups without simple sections
We study groups in which normality is a weakly transitive relation,giving an extension of Theorem A ...
A subgroup X of a group G is called transitively normal if X is normal in any subgroup Y of G such t...
A transitively normal subgroup of a group G is one that is normal in every subgroup in which it is s...
A subgroup X of a group G is said to be an H -subgroup if NG(X) ∩ Xg ≤ X for each element g belongin...
Copyright c © 2013 Doaa Mustafa AlSharo et al. This is an open access article dis-tributed under the...
We extend to soluble FC⇤-groups, the class of generalised FC-groups introduced in de Giovanni et al....
In this paper we highlight the relations between some subgroup embedding properties that characteri...
We give two new characterizations of finite solvable groups all of whose subnormal subgroups are nor...
We extend to soluble FC∗ -groups, the class of generalised FC-groups introduced in [F. de Giov...
In this survey we highlight the relations between some subgroup embedding properties that character...
A group is called a T-group if all its subnormal subgroups are normal. It is proved here that if G i...
The structure of soluble groups in which normality is a transitive relation is known. Here, groups w...
We study groups in which normality is a weakly transitive relation,giving an extension of Theorem A ...
A subgroup X of a group G is called transitively normal if X is normal in any subgroup Y of G such t...
A transitively normal subgroup of a group G is one that is normal in every subgroup in which it is s...
A subgroup X of a group G is said to be an H -subgroup if NG(X) ∩ Xg ≤ X for each element g belongin...
Copyright c © 2013 Doaa Mustafa AlSharo et al. This is an open access article dis-tributed under the...
We extend to soluble FC⇤-groups, the class of generalised FC-groups introduced in de Giovanni et al....
In this paper we highlight the relations between some subgroup embedding properties that characteri...
We give two new characterizations of finite solvable groups all of whose subnormal subgroups are nor...
We extend to soluble FC∗ -groups, the class of generalised FC-groups introduced in [F. de Giov...
In this survey we highlight the relations between some subgroup embedding properties that character...
A group is called a T-group if all its subnormal subgroups are normal. It is proved here that if G i...
The structure of soluble groups in which normality is a transitive relation is known. Here, groups w...
We study groups in which normality is a weakly transitive relation,giving an extension of Theorem A ...
A subgroup X of a group G is called transitively normal if X is normal in any subgroup Y of G such t...
A transitively normal subgroup of a group G is one that is normal in every subgroup in which it is s...