We study groups in which each subnormal subgroup is commensurable with a normal subgroup. Recall that two subgroups and are termed commensurable if H-KHcap K has finite index in both and . Among other results, we show that if a (sub)soluble group has the above property, then is finite-by-metabelian, i.e., GG{} is finite
A subgroup H ≤ G is commensurated if H : H ∩gHg-1 ∞ for all g ϵ G. We show that a finitely generated...
In this paper we investigate the class of finite soluble groups in which every subnormal subgroup ha...
A group is called metahamiltonian if all its non-abelian subgroups are normal. It is known that any ...
We study soluble groups G in which each subnormal subgroup H with infinite rank is commensurable wit...
A subgroup H of a group G is commensurable (or close) to a normal subgroup if there is a normal subg...
Two subgroups H and K of a group are commensurable iff their intersection has finite index in both ...
A group G is a cn-group if for each subgroup H of G there exists a normal subgroup N of G such that ...
Abstract. We call a group G a T,-group when every cyclic subnormal subgroup of G is normal in G. The...
A subgroup $H$ of a group $G$ is called $f$-subnormal in $G$, if there is a finite sequence $H=H_0\l...
AbstractLet G be a group and H a subgroup. It is shown that the set of indices {[H: H ∩ gHg−1]¦g ϵ G...
A subgroup H of a group G is called commensurable with a normal subgroup (cn) if there is N C G suc...
We give two new characterizations of finite solvable groups all of whose subnormal subgroups are nor...
It is unknown whether every group G = AB which is the product of of two abelian-by-finite subgroups ...
The structure of soluble groups in which normality is a transitive relation is known. Here, groups w...
Let G be a group and Γ1,Γ2 < G. Γ1 and Γ2 are called commensurable if Γ1 ∩ Γ2 has finite index in...
A subgroup H ≤ G is commensurated if H : H ∩gHg-1 ∞ for all g ϵ G. We show that a finitely generated...
In this paper we investigate the class of finite soluble groups in which every subnormal subgroup ha...
A group is called metahamiltonian if all its non-abelian subgroups are normal. It is known that any ...
We study soluble groups G in which each subnormal subgroup H with infinite rank is commensurable wit...
A subgroup H of a group G is commensurable (or close) to a normal subgroup if there is a normal subg...
Two subgroups H and K of a group are commensurable iff their intersection has finite index in both ...
A group G is a cn-group if for each subgroup H of G there exists a normal subgroup N of G such that ...
Abstract. We call a group G a T,-group when every cyclic subnormal subgroup of G is normal in G. The...
A subgroup $H$ of a group $G$ is called $f$-subnormal in $G$, if there is a finite sequence $H=H_0\l...
AbstractLet G be a group and H a subgroup. It is shown that the set of indices {[H: H ∩ gHg−1]¦g ϵ G...
A subgroup H of a group G is called commensurable with a normal subgroup (cn) if there is N C G suc...
We give two new characterizations of finite solvable groups all of whose subnormal subgroups are nor...
It is unknown whether every group G = AB which is the product of of two abelian-by-finite subgroups ...
The structure of soluble groups in which normality is a transitive relation is known. Here, groups w...
Let G be a group and Γ1,Γ2 < G. Γ1 and Γ2 are called commensurable if Γ1 ∩ Γ2 has finite index in...
A subgroup H ≤ G is commensurated if H : H ∩gHg-1 ∞ for all g ϵ G. We show that a finitely generated...
In this paper we investigate the class of finite soluble groups in which every subnormal subgroup ha...
A group is called metahamiltonian if all its non-abelian subgroups are normal. It is known that any ...
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