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 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
Abstract. We call a group G a T,-group when every cyclic subnormal subgroup of G is normal in G. The...
Finite groups in which a given property of two-generator subgroups is a transitive relation are inve...
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 said to be an H -subgroup if NG(X) ∩ Xg ≤ X for each element g belongin...
A subgroup $X$ of a group $G$ is said to be an H-subgroup if NG(X) ∩ Xg ≤ X for each element $...
Copyright c © 2013 Doaa Mustafa AlSharo et al. This is an open access article dis-tributed under the...
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...
A group is called a T-group if all its subnormal subgroups are normal. It is proved here that if G i...
We extend to soluble FC⇤-groups, the class of generalised FC-groups introduced in de Giovanni et al....
In this survey we highlight the relations between some subgroup embedding properties that character...
We extend to soluble FC∗ -groups, the class of generalised FC-groups introduced in [F. de Giov...
The structure of soluble groups in which normality is a transitive relation is known. Here, groups w...
Abstract. We call a group G a T,-group when every cyclic subnormal subgroup of G is normal in G. The...
Finite groups in which a given property of two-generator subgroups is a transitive relation are inve...
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 said to be an H -subgroup if NG(X) ∩ Xg ≤ X for each element g belongin...
A subgroup $X$ of a group $G$ is said to be an H-subgroup if NG(X) ∩ Xg ≤ X for each element $...
Copyright c © 2013 Doaa Mustafa AlSharo et al. This is an open access article dis-tributed under the...
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...
A group is called a T-group if all its subnormal subgroups are normal. It is proved here that if G i...
We extend to soluble FC⇤-groups, the class of generalised FC-groups introduced in de Giovanni et al....
In this survey we highlight the relations between some subgroup embedding properties that character...
We extend to soluble FC∗ -groups, the class of generalised FC-groups introduced in [F. de Giov...
The structure of soluble groups in which normality is a transitive relation is known. Here, groups w...
Abstract. We call a group G a T,-group when every cyclic subnormal subgroup of G is normal in G. The...
Finite groups in which a given property of two-generator subgroups is a transitive relation are inve...
We study groups in which normality is a weakly transitive relation,giving an extension of Theorem A ...