DOIAbstract
If G is a finite soluble group in which the centralizer of every non-trivial element is metabelian (or nilpotent-by-abelian), then G has derived length at most 4 (respectively, the third term of the derived series is nilpotent)
If G is a finite soluble group in which the centralizer of every non-trivial element is metabelian (or nilpotent-by-abelian), then G has derived length at most 4 (respectively, the third term of the derived series is nilpotent)
In 1969, Dade showed that the nilpotent length of a finite soluble group is bounded in terms of the ...
Every finite group $G$ has a normal series each of whose factors either is soluble or is a direct pr...
It is shown that: the index of the second center of a finitely generated soluble group $G$ is finit...
If G is a finite soluble group in which the centralizer of every non-trivial element is metabel...
If G is a finite soluble group in which the centralizer of every non-trivial element is metabel...
The c-dimension of a group is the maximum length of a chain of nested centralizers. It is proved tha...
We classity the finite soluble groups satisfying the following condition: if $H$ is a subgroup of $G...
Abstract. For any group G, let C(G) denote the set of centralizers of G. We say that a group G has n...
Abstract. The c-dimension of a group is the maximum length of a chain of nested centralizers. It is ...
The results for soluble groupe of finite Morley rank are generalized to the finite dimensional conte...
The nonsoluble length~$\lambda (G)$ of a finite group~$G$ is defined as the minimum number of nonsol...
We prove that the kth term of the lower central series of a finite group G is nilpotent if and only ...
AbstractThe authors discuss the class Sd(r) of groups in which every finitely generated subgroup is ...
AbstractFor a group class X, a group G is said to be a CX-group if the factor group G/CG(gG)∈X for a...
Abstract. We show that for soluble groups of type FPn, centralisers of finite subgroups need not be ...
In 1969, Dade showed that the nilpotent length of a finite soluble group is bounded in terms of the ...
Every finite group $G$ has a normal series each of whose factors either is soluble or is a direct pr...
It is shown that: the index of the second center of a finitely generated soluble group $G$ is finit...
If G is a finite soluble group in which the centralizer of every non-trivial element is metabel...
If G is a finite soluble group in which the centralizer of every non-trivial element is metabel...
The c-dimension of a group is the maximum length of a chain of nested centralizers. It is proved tha...
We classity the finite soluble groups satisfying the following condition: if $H$ is a subgroup of $G...
Abstract. For any group G, let C(G) denote the set of centralizers of G. We say that a group G has n...
Abstract. The c-dimension of a group is the maximum length of a chain of nested centralizers. It is ...
The results for soluble groupe of finite Morley rank are generalized to the finite dimensional conte...
The nonsoluble length~$\lambda (G)$ of a finite group~$G$ is defined as the minimum number of nonsol...
We prove that the kth term of the lower central series of a finite group G is nilpotent if and only ...
AbstractThe authors discuss the class Sd(r) of groups in which every finitely generated subgroup is ...
AbstractFor a group class X, a group G is said to be a CX-group if the factor group G/CG(gG)∈X for a...
Abstract. We show that for soluble groups of type FPn, centralisers of finite subgroups need not be ...
In 1969, Dade showed that the nilpotent length of a finite soluble group is bounded in terms of the ...
Every finite group $G$ has a normal series each of whose factors either is soluble or is a direct pr...
It is shown that: the index of the second center of a finitely generated soluble group $G$ is finit...
Add to ORKG